Curriculum Vitæ

of

Luís Filipe Pinheiro de Castro

Overview

Luis Castro received the (�ve years) Diploma (�Licenciatura�) Degree from the University of Aveiro, Portu-gal, in 1991, the M.Sc. and Ph.D. degrees in Applied Mathematics and Mathematics from IST, TechnicalUniversity of Lisbon, in 1994 and 1998, respectively. In 2004, he received the Habilitation (�Agregação�)Degree from University of Aveiro.

From 1998 to 2000 he was in the Directive Council of Department of Mathematics of University of Aveiro;from 2000 to 2002 he was Vice-President of the Directive Board of the Centre Delegation of the PortugueseMathematical Society; from 2001 to 2003 he was President of the Scienti�c-Pedagogic Council of Departmentof Mathematics of University of Aveiro; from 2001 to 2003 he was Coordinator of the Scienti�c Committeeof Department of Mathematics of University of Aveiro; from January 2006 to December 2009, he was theScienti�c Coordinator of the Research Unit Mathematics and Applications, which had 55 Ph.D. membersand 82 elements in total.

He is currently the Scienti�c Coordinator/Director of CIDMA - Center for Research and Development inMathematics and Applications � which is one of the largest research centers of Mathematics in Portugal(recognized by the Portuguese Foundation for Science and Technology) and has 91 Ph.D. Members, 33Ph.D. Students and 24 Collaborators, in a total of 148 elements; see http://cidma.mat.ua.pt/ .

He has more than 15 years of teaching experience in Mathematics at B.Sc., M.Sc. and Ph.D. levels (beingalways in the group of Professors of Aveiro University Maths Department with better evaluation from thestudents in the University o�cial evaluation system).

His current research interests include several topics in the areas of Functional Analysis, Integral and Dif-ferential Equations, Operator Theory and Mathematical-Physics. In the last ten years he contributed withseveral publications concerning operator relations between di�erent types of operator classes, Fredholm the-ory of classes of singular integral and pseudo-di�erential operators, factorization theory of matrix-valuedfunctions and operators (including Wiener-Hopf factorization and associated Riemann-Hilbert problems),wave di�raction problems and electromagnetic theory from a mathematical viewpoint, analysis of boundaryvalue problems in di�erent domains within Sobolev type spaces, solvability of integral equations of di�er-ent types, qualitative theory of di�erential equations, approximate solutions for di�erential and integralequations, Tikhonov regularization, and theory of reproducing kernel Hilbert spaces and its applications.

He has contributed with over 100 peer-reviewed published papers, and gave more than 100 talks at researchseminars and international conferences or workshops. He supervised 5 M.Sc. students, 5 Ph.D. students andserved as adviser for 5 post-docs. His current h-index is 11, the i10-index is 17 and his research papersreceived 596 citations until now (of which 332 were in the last �ve years) � data taken from Google Scholar.Since 2009 he has been Full Professor of Mathematics at University of Aveiro, Portugal.

July, 2014.

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Address

Institutional Address:Departamento de Matemática, Universidade de Aveiro,3810-193 AveiroPortugalPhone: +351 964377335Fax: +351 234370066E-mail: castro@ua.ptURL: http://sweet.ua.pt/castro/

Personal Data

Birth year: 1968Nationality: Portuguese

Education / Academic University Degrees

[26.11.04] Habilitation (�Agregação�) in Mathematics at the University of Aveiro, Portugal.

[10.10.95�08.07.98] Ph.D. in Mathematics (in the areas of Operator Theory and Functional Analysis), atthe Department of Mathematics of Instituto Superior Técnico, Technical Universityof Lisbon, Portugal.Supervisor: Professor Frank-Olme Speck.

[01.10.92�25.07.94] M.Sc. in Applied Mathematics (in the area of Functional Analysis), at the Depart-ment of Mathematics of Instituto Superior Técnico, Technical University of Lisbon,Portugal.Supervisor: Professor Frank-Olme Speck.

[01.10.86�09.07.91] B.Sc. in Mathematics at the University of Aveiro, Portugal.

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Previous and Current Professional Activities

Professional Positions:

[24.06.09�present] Full Professor (with tenure), in the Department of Mathematics of University ofAveiro, Portugal.

[26.11.04�23.06.09] Associate Professor with Habilitation, in the Department of Mathematics ofUniversity of Aveiro, Portugal.

[14.11.02�25.11.04] Associate Professor, in the Department of Mathematics of University of Aveiro,Portugal.

[08.07.98�13.11.02] Auxiliary Professor, in the Department of Mathematics of University of Aveiro,Portugal.

[28.11.94�07.07.98] Teaching Assistant, in the Department of Mathematics of University of Aveiro,Portugal.

[01.10.94�27.11.94] Collaborator in the Department of Mathematics of University of Aveiro, Portugal(with teaching duties).

[01.10.92�30.09.94] Bolseiro of the Junta Nacional de Investigação Cientí�ca and Tecnológica, withinthe Science Programme, Portugal.

[01.10.91�30.09.92] Junior Teaching Assistant, in the Department of Mathematics of University ofAveiro, Portugal.

[90/91] Docent in the Hight School no1 of Aveiro, Portugal.

Examples of Management and Scientific Coordination Activities (in Mathematical Institu-tions):

[01.03.11�present] Member of the Consulting Commission for Research, Department of Math-ematics of the University of Aveiro.

[07.07.10�present] Member of the Department of Mathematics Council, University of Aveiro.

[01.01.10�present] Scienti�c Coordinator/Director of the research center �Centro de Investi-gação e Desenvolvimento em Matemática e Aplicações � CIDMA�, created in January1, 2010, and recognized by the Portuguese Foundation for Science and Technology.CIDMA contains seven research groups and 148 elements in total.

[01.01.06�31.12.2009] Scienti�c Coordinator of the Research Unit �Matemática e Aplicações�, hostedat the Department of Mathematics of the University of Aveiro (created in 1994, andhad six research groups with a total of 66 elements).

[03.10.01�09.10.03] Coordinator of the Scienti�c Committee of Department of Mathematics, Uni-versity of Aveiro.

[03.10.01�09.10.03] President of the Scienti�c-Pedagogic Council of the Department of Mathe-matics, University of Aveiro.

[15.09.00�17.09.02] Vice-President of the Directive Board of the Regional-Center Delegation of thePortuguese Mathematical Society.

[25.09.98�19.10.00] Vice-President of the Department of Mathematics of University of Aveiro.

Member of Mathematical Scientific Institutions:

[01.01.07�present] Member of the (Portuguese) National Commission of Mathematics.

[01.04.08�present] Member of the (Portuguese) International Center of Mathematics.

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Teaching Experience at the University of Aveiro, Portugal

[since 1991] Several courses at B.Sc., M.Sc. and Ph.D. levels. Namely:

• Calculus I;

• Calculus II;

• Calculus III;

• Di�erential Equations;

• Functional Analysis;

• Functional Analysis with Applications (M.Sc. level; in English and Portuguese);

• Higher Analysis II (M.Sc. level);

• Integral Equations;

• Liner Functional Analysis;

• Mathematical Analysis I;

• Mathematical Analysis II;

• Mathematical Analysis VI;

• Mathematical Seminars (di�erent types at M.Sc. and B.Sc. levels);

• Research Seminar I (Ph.D. level);

• Research Seminar II (Ph.D. level; in English and Portuguese);

• Topics of Pure Mathematics (Ph.D. level; in English);

• Topology.

Moreover, L. Castro was supervisor of �Pedagogical Practice� for teachers of Math-ematics in the Portuguese High Schools (in seven di�erent years).

L. Castro have written several student text notes for almost all the above indicatedcourses (mostly in Portuguese).

L. Castro is the author of an extensive list of proposals for implementing new orreformulations of courses and disciplines in the Mathematics area at the Universityof Aveiro, Portugal.

L. Castro has been obtaining top evaluations in the o�cial student classes evaluationsystem of University of Aveiro. E.g. the teaching evaluations for the academic year2012/2013 were:

8,15 (in the scale from 0 to 9), for the �Global Teaching Evaluation� in the courseof Mathematical Analysis I (B.Sc. level); Luís Castro was one of the six profes-sors that were teaching this course last semester; the average of all those sixprofessors for the �Global Teaching Evaluation� in this course was 6,36.

8,67 (in the scale from 0 to 9), for the �Global Teaching Evaluation� in the course ofFunctional Analysis with Applications (M.Sc. level); Luís Castro was the uniqueprofessor for this course.

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Teaching Experience outside Portugal

Mini-Courses for students of B.Sc. and post-graduate degrees, or integrated in workshops

[MC1] �An Overview about Convolution Type Operators with Applications�, University ofCraiova, Romania, June 2003 (in English).

[MC2] �Operator Theory for Boundary Value Problems�, University of Craiova, Romania,June 2008 (in English).

[MC3] �Special Topics in Mathematics: Operator Theory Applied to Periodicity and Invert-ibility�, UNESP, Campus de Ilha Solteira, Brazil, August 2011 (in Portuguese).

[MC4] �Regularity properties of Wiener-Hopf and Hankel operators�, ERASMUS Programme2011/2012, January 2012, Department of Mathematics, University of Padua, Italy.

[MC5] �Wave Di�raction Problems from an Operator Theory Viewpoint�, Minicourse withinthe International Workshop �Analysis, Operator Theory, and Mathematical Physics�,Ixtapa, México, February 2014.

Editorial Work

Book:Advances in Harmonic Analysis and Operator Theory � The Stefan Samko Anniversary Volume (A. Almeida,L. Castro, F.-O. Speck; eds.), Operator Theory: Advances and Applications 229, Birkhäuser, Basel, 2013.

Member of the Editorial Board of the Journals:

Abstract and Applied Analysis

Banach Journal of Mathematical Analysis

International Journal of Functional Analysis, Operator Theory and Applications

Libertas Mathematica (new series)

MESA: Mathematics in Engineering, Science and Aerospace - A TransdisciplinaryInternational Journal

Scientific Works with New Results

Theses:

[T1] L. P. Castro: �A Characterization of the Intermediate Space in Generalized Fac-torization� (in Portuguese), Masters Thesis, Instituto Superior Técnico, TechnicalUniversity of Lisbon, vii + 90 p., 1994.MSC2000: 47A68 47B35 45E05 47G10

[T2] L. P. Castro: �Relations Between Singular Operators and Applications� (in English),Ph.D. Thesis, Instituto Superior Técnico, Technical University of Lisbon, xix +159 p., 1998.MSC2000: 47B35 47A20 45E10 47A05 47A53 47A68 47B99 15A09 35J05 42B3078A45

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[T3] L. P. Castro: �Integro-Di�erential Equations and Operators of Prandtl Type� (inPortuguese), Detailed Summary of the Lecture for the second day of the Habillitation(�Agregação�) Degree Examination, University of Aveiro, 34 p., 2004.

Published Papers:

[A1] L. P. Castro, F.-O. Speck: �On the Characterization of the Intermediate Space in Generalized Factor-izations�, Mathematische Nachrichten 176 (1995), 39�54.MSC2000: 47B35, 45E05, 47A68, 47G10.

[A2] L. P. Castro, F.-O. Speck: �On the Inversion of Higher Order Wiener-Hopf Operators�, Journal ofIntegral Equations and Applications 8 (1996), 269�285.MSC2000: 47B35, 47A05.

[A3] L. P. Castro, F.-O. Speck: �A Fredholm Study for Convolution Operators with Piecewise ContinuousSymbols on a Union of a Finite and a Semi-In�nite Interval�, Applicable Analysis 64 (1997), 171�187.MSC2000: 47B35, 35J05, 47A53, 47A68, 47B37, 47G10.

[A4] L. P. Castro: �Wiener-Hopf Operators on Unions of Finite Intervals: Relations and Generalized In-version�, F. J. Cobos, J. R. Gómez, F. Mateos (eds), Meeting on Matrix Analysis and Applications,Sevilha: Departamento de Matemática Aplicada I, Universidade de Sevilha, 1997, 148�155.MSC2000: 47B35, 47A05, 47A20.

[A5] L. P. Castro: �Integral Equations of Convolution Type on Unions of Intervals�, Pitman Research Notesin Mathematics 374 (1997), 43�47.MSC2000: 45E10, 47B35, 47G10, 47N20.

[A6] L. P. Castro, F.-O. Speck: �Regularity Properties and Generalized Inverses of Delta-Related Operators�,Zeitschrift für Analysis und ihre Anwendungen (Jornal for Analysis and its Applications) 17 (1998),577�598.MSC2000: 47A05, 47A68, 45E05, 46F10, 47A53, 47B35, 15A09.

[A7] L. P. Castro, F.-O. Speck: �A Fredholm Study for a Sommerfeld Di�raction Problem�, Pitman ResearchNotes in Mathematics 379 (1998), 47�51.MSC2000: 35J05, 47B35, 45F15, 35C15, 76Q05, 78A45.

[A8] L. P. Castro, F.-O. Speck: �Relations Between Convolution Type Operators on Intervals and on theHalf-Line�, Integral Equations and Operator Theory 37 (2000), 169�207.MSC2000: 47B35, 46E10, 47A05, 46E35, 47A20, 47A68, 78A45.

[A9] L. P. Castro, F.-O. Speck: �An Operator Approach to a Boundary Value Problem for the HelmholtzEquation�, A. Gheondea (ed.) et al, Operator Theoretical Methods, Bucharest: The Theta Foundation,2000, 67�86.MSC2000: 35J05, 45E10, 47A68, 47B35, 47F05, 35J25.

[A10] L. P. Castro: �A Relation Between Convolution Type Operators on Intervals in Sobolev Spaces�,Applicable Analysis 74 (2000), 393�412.MSC2000: 47B35, 35J25, 45E10, 47A68, 47G10.

[A11] L. P. Castro: �Tratamento Matemático de um Problema de Difracção de Ondas Planas por uma BarraSuave� (in Portuguese), Paulo M. M. Vila Real e José J. Grácio (eds), VI Congresso Nacional deMecânica Aplicada e Computacional, Aveiro: Universidade de Aveiro, 2000, 1673�1682.MSC2000: 35J05, 47A68, 47B35, 78A45.

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[A12] L. P. Castro: �Some Relations Between Convolution Type Operators�, Trudy Instituta Matematiki 5(2000), 55�59.MSC2000: 47B35, 46E35, 47B38.

[A13] L. P. Castro: �Solution of a Wave Di�raction Problem by a Magnetic Strip�, A. Bermúdez (ed.) etal, Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of WavePropagation, Philadelphia: SIAM, 2000, 231�235.MSC2000: 35J05, 35C99, 78A45.

[A14] L. P. Castro: �On the Regularity of Solutions of an Electromagnetic Wave Di�raction Problem ona Strip in Bessel Potential Spaces�, L. Consiglieri (ed.) et al, Proceedings of the Workshop Topics ofRegularity in Partial Di�erential Equations, Lisboa: CMAF/Universidade de Lisboa, 2001, 78�82.MSC2000: 35B65, 35J05, 35J25, 78A45, 47B35, 45E10.

[A15] L. P. Castro: �Strongly Elliptic Operators for a Plane Wave Di�raction Problem in Bessel PotentialSpaces�, Journal of Inequalities in Pure and Applied Mathematics 3 (2002), no. 2, 1�9.MSC2000: 78A45, 35J25, 47B35, 47A50, 47A20, 47A68.

[A16] L. P. Castro, R. Duduchava, F.-O. Speck: �Singular Integral Equations on Piecewise Smooth Curvesin Spaces of Smooth Functions�, Operator Theory: Advances and Applications 135 (2002), 107�144.MSC2000: 45E05, 45F15, 46E35, 47A53, 47B35.

[A17] L. P. Castro, E. M. Rocha: �Existence, Uniqueness and Di�erentiability of the Solution of a FunctionalEquation with General Delay�, Annals of the University of Craiova XXIX (2002), 1�9.MSC2000: 45G15, 47G10, 47H10, 46T20, 58C20.

[A18] L. P. Castro, F.-O. Speck: �Well-Posedness of Di�raction Problems Involving n Coplanar Strips�,Operator Theory: Advances and Applications 142 (2003), 79�90.MSC2000: 78A45, 35J05, 47B35.

[A19] L. P. Castro, R. Duduchava, F.-O. Speck: �Localization and Minimal Normalization of some BasicMixed Boundary Value Problems�, S. Samko, A. F. dos Santos e A. B. Lebre (eds.), Factorization,Singular Operators and Related Problems, Londres: Kluwer Academic Publishers, 2003, 73�100.MSC2000: 35J40, 47A52, 47A53, 47B35.

[A20] L. P. Castro: �Regularity of Convolution type Operators with PC Symbols in Bessel Potential Spacesover Two Finite Intervals�, Mathematische Nachrichten 261-262 (2003), 23�36.MSC2000: 47B35, 47G10, 47A20, 47A53, 35J25, 78A45.

[A21] L. P. Castro, F.-O. Speck, F. S. Teixeira: �Explicit Solution of a Dirichlet�Neumann Wedge Di�ractionProblem with a Strip�, Journal of Integral Equations and Applications 15 (2003), 359�383.MSC2000: 35C05, 35J05, 35J25, 45E10, 47A20, 47B35.

[A22] L. P. Castro: �Solution of a Sommerfeld Di�raction Problem with a Real Wave Number�, C. Constanda(ed.) et al., Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Boston:Birkhäuser, 2004, 25�30.MSC2000: 35J25, 45E10, 47A68, 47B35, 44A10.

[A23] L. P. Castro, F.-O. Speck, F. S. Teixeira: �On a Class of Wedge Di�raction Problems posted by ErhardMeister�, Operator Theory: Advances and Applications 147 (2004), 213�240.MSC2000: 35J25, 30E25, 45E10, 47A53, 47A68, 47B35.

[A24] L. P. Castro, F.-O. Speck, F. S. Teixeira: �A Direct Approach to Convolution Type Operators withSymmetry�, Mathematische Nachrichten 269-270 (2004), 73�85.MSC2000: 47B35, 47A68, 47A53.

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[A25] L. P. Castro, A. Moura Santos: �An Operator Approach for an Oblique Derivative Boundary-TransmissionProblem�, Mathematical Methods in the Applied Sciences 27 (2004), 1469�1491.MSC2000: 35J25, 35J05, 78A45, 47B35, 47A53, 47A68.

[A26] L. P. Castro, R. Duduchava, F.-O. Speck: �Finite Interval Convolution Operators with TransmissionProperty�, Integral Equations and Operator Theory 52 (2005), 165�179.MSC2000: 47B35, 47A05, 46E35, 45E10.

[A27] L. P. Castro, F.-O. Speck: �Convolution Operators on Intervals and Their use in Di�raction Theory�,Feature Article of CIM Bulletin 19, 2005, 10�18.MSC2000: 47B35, 47A05, 46E35, 45E10, 35J25, 35J05, 78A45.

[A28] L. P. Castro, F.-O. Speck: �Inversion of Matrix Convolution Type Operators with Symmetry�, PortugaliæMathematica (N.S.) 62 (2005), 193�216.MSC2000: 47B35, 47A68.

[A29] L. P. Castro, B. Zhang: �Invertibility of Convolution Operators arising in Problems of Wave Di�ractionby a Strip with Reactance and Dirichlet Conditions�, Zeitschrift für Analysis und ihre Anwendungen(Jornal for Analysis and its Applications) 24 (2005), 545�560.MSC2000: 47A05, 47A20, 47A68, 47B35, 35J05, 78A45, 42A75, 42A85, 45E10.

[A30] L. P. Castro: �On the Invertibility of Prandtl Type Operators in Sobolev Spaces on a Semi-Line�,Proceedings of ICNPAA 2004: 5th International Conference on Mathematical Problems in Engineeringand Aerospace Sciences, Cambridge Scienti�c Publishers, Cambridge, 2005, 137�144.MSC2000: 47B35, 47A05, 47A68, 46E35, 45E10.

[A31] G. Bogveradze, L. P. Castro: �Wiener-Hopf plus Hankel Operators on the Real Line with Unitary andSectorial Symbols�, Contemporary Mathematics 414 (2006), 77�85.MSC2000: 47B35, 47A68, 47A53.

[A32] L. P. Castro, D. Natroshvili: �The Potential Method for the Reactance Wave Di�raction Problem ina Scale of Spaces�, Georgian Mathematical Journal 13 (2006), 251�260.MSC2000: 35J05, 35J25, 35P25.

[A33] A. P. Nolasco, L. P. Castro: �Factorization Theory for Wiener-Hopf plus Hankel Operators withAlmost Periodic Symbols�, Contemporary Mathematics 414 (2006), 111�128.MSC2000: 47B35, 47A68, 47A53, 42A75.

[A34] L. P. Castro, R. Duduchava, F.-O. Speck: �Asymmetric Factorizations of Matrix Functions on theReal Line�, Operator Theory: Advances and Applications 170 (2006), 53�74.MSC2000: 47A68, 15A23, 47B35, 15A21.

[A35] L. P. Castro, F.-O. Speck, F. S. Teixeira �Mixed Boundary Value Problems for the Helmholtz Equationin a Quadrant�, Integral Equations and Operator Theory 56 (2006), 1�44.MSC2000: 35J25, 30E25, 47G30, 45E10, 47A53, 47A20.

[A36] L. P. Castro, D. Natroshvili: �The Reactance Wave Di�raction Problem by a Strip in a Scale of BesselPotential Spaces�, Opuscula Mathematica 26 (2006), 289�303.MSC2000: 35J05, 35J25, 47A53, 47B35, 47F05, 45E10, 78A45.

[A37] L. P. Castro, D. Kapanadze: �On Wave Di�raction by a Half-plane with Di�erent Face Impedances�,Mathematical Methods in the Applied Sciences 30 (2007), 513�527.MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30, 47B35.

[A38] A. P. Nolasco, L. P. Castro: �A Duduchava-Saginashvili's Type Theory for Wiener-Hopf plus HankelOperators�, Journal of Mathematical Analysis and Applications 331 (2007), 329-341.MSC2000: 47B35, 47A68, 47A53, 42A75.

[A39] L. P. Castro, D. Natroshvili, I. G. Stratis: �Wave Scattering by an Elastic Obstacle with Interior Cuts�,Mathematische Nachrichten 280 (2007), 996�1013.MSC2000: 31A10, 35J55, 74B05, 74F10.

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[A40] A. P. Nolasco, L. P. Castro: �A Stronger Version of the Sarason's Type Theorem for Wiener-Hopf-Hankel Operators with SAP Fourier Symbols�, Bulletin of the Greek Mathematical Society 54 (2007),59�78.MSC2000: 47B35, 47A68, 47A53, 42A75.

[A41] L. P. Castro, D. Kapanadze: �A Boundary-Transmission Problem with First and Second Kind Condi-tions for the Helmholtz Equation in Besov and Bessel Potential Spaces�, Bulletin of the Greek Mathe-matical Society 54 (2007), 79�96.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A42] L. P. Castro, A. M. Simões: �Mathematical Treatment of a Wave Di�raction Problem with HigherOrder Boundary Conditions�, in: �Trends and Challenges in Applied Mathematics� (G. Paltineanu,E. Popescu, I. Toma, Eds.). Matrix Rom Publishers (Romanian Council of Scienti�c Research fromHigher Education), Bucharest, 2007, 44�49.MSC2000: 35J05, 35J25, 78A45, 35C15, 47A20, 47B35, 45E10.

[A43] G. Bogveradze, L. P. Castro: �On the Fredholm Property and Index of Wiener-Hopf plus/minusHankel Operators with Piecewise Almost Periodic Symbols�, Applied Mathematics, Informatics andMechanics 12(1) (2007), 25�40.MSC2000: 47B35, 47A53, 47A68, 42A75.

[A44] L. P. Castro, D. Kapanadze: �The Impedance Boundary-Value Problem of Di�raction by a Strip�,Journal of Mathematical Analysis and Applications 337 (2008), 1031�1040.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A45] L. P. Castro, A. H. Kamel: �Mathieu Function and Kontorovich-Lebedev Transforms in the L-shapedWave Scattering Problem�, African Diaspora Journal of Mathematics 5 (2008), 145�161.MSC2000: 30E25, 33E10, 35J05, 44A15, 45H05.

[A46] L. P. Castro, E. Pesetskaya: �Analytical Investigation of the E�ective Properties of 2D CompositeMaterials�, in: A. J. M. Ferreira (ed.) et al, Proceedings of the International Conference on Mathe-matics and Continuum Mechanics, Centro Internacional de Matemática, 2008, 13�18.MSC2000: 30D05, 30E25, 35B27, 74Q05.

[A47] L. P. Castro, D. Kapanadze: �Pseudo-di�erential Operators in a Wave Di�raction Problem withImpedance Conditions�, Fractional Calculus & Applied Analysis 11 (2008), 15�26.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A48] L. P. Castro, D. Kapanadze: �Dirichlet-Neumann-Impedance Boundary-Value Problems Arising inRectangular Wedge Di�raction Problems�, Proceedings of the American Mathematical Society 136(2008), 2113�2123.MSC2000: 35J25, 35J05, 45E10, 47A20, 47G30, 47H50.

[A49] G. Bogveradze, L. P. Castro: �Invertibility Properties of Matrix Wiener-Hopf plus Hankel IntegralOperators�, Mathematical Modelling and Analysis 13(1) (2008), 7�16.MSC2000: 47B35, 47A53, 47A68, 42A75.

[A50] L. P. Castro, E. M. Rojas: �Similarity Transformation Methods for Singular Integral Operators withRe�ection on Weighted Lebesgue Spaces�, International Journal of Modern Mathematics 3(3) (2008),295�313.MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20.

[A51] G. Bogveradze, L. P. Castro: �On the Fredholm Index of Matrix Wiener-Hopf plus/minus HankelOperators with Semi-Almost Periodic Symbols�, Operator Theory: Advances and Applications 181(2008), 143�158.MSC2000: 47A53, 47B35, 47A68, 42A75.

[A52] L. P. Castro, D. Kapanadze: �Di�raction by a Strip and by a Half-plane with Variable Face Impedances�,Operator Theory: Advances and Applications 181 (2008), 159�172.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A53] L. P. Castro, R. Duduchava, F.-O. Speck: �Solvability of Singular Integro-Di�erential Equations withMultiple Complex Shifts�, Complex Analysis and Operator Theory 2(2) (2008), 327�343.MSC2000: 45E10, 47B35, 47A53, 47A68.

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[A54] L. P. Castro, D. Kapanadze: �Wave Di�raction by a 45 Degrees Wedge Sector with Dirichlet andNeumann Boundary Conditions�, Mathematical and Computer Modelling 48 (2008), 114�121.MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30.

[A55] L. P. Castro, E. M. Rojas: �Reduction of Singular Integral Operators with Flip and their FredholmProperty�, Lobachevskii Journal of Mathematics 29(3) (2008), 119�129.MSC2000: 47G10, 47B35, 47A53, 45E05, 45F15, 47A20.

[A56] L. P. Castro, D. Kapanadze: �Di�raction by a Union of Strips with Impedance Conditions in Besovand Bessel Potential Spaces, Mathematical Modelling and Analysis 13(2) (2008), 183�194.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A57] G. Bogveradze, L. P. Castro: �Toeplitz plus Hankel Operators with In�nite Index�, Integral Equationsand Operator Theory 62(1) (2008), 43�63.MSC2000: 47B35, 47A53, 47A68, 42A75.

[A58] L. P. Castro, D. Kapanadze: �Wave Di�raction by a Strip with First and Second Kind BoundaryConditions: the Real Wave Number Case�, Mathematische Nachrichten 281(10) (2008), 1400�1411.MSC2000: 35J05, 35J25, 35C15, 47H50.

[A59] L. P. Castro, A. Ramos: �Hyers-Ulam-Rassias Stability for a Class of Nonlinear Volterra IntegralEquations�, Banach Journal of Mathematical Analysis 3(1) (2009), 36�43.MSC2000: 45M10, 45D05, 34K20.

[A60] G. Bogveradze, L. P. Castro: �Invertibility Characterization of Wiener-Hopf plus Hankel OperatorsVia Odd Asymmetric Factorizations�, Banach Journal of Mathematical Analysis 3(1) (2009), 1�18.MSC2000: 47B35, 47A68, 47A53.

[A61] L. P. Castro, A. S. Silva: �Invertibility of Matrix Wiener-Hopf plus Hankel Operators with SymbolsProducing a Positive Numerical Range�, Zeitschrift für Analysis und ihre Anwendungen (Jornal forAnalysis and its Applications) 28(1) (2009), 119�127.MSC2000: 47B35, 47A05, 47A12, 47A20, 42A75.

[A62] L. P. Castro, A. M. Simões: �Fredholm Analysis for a Wave Di�raction Problem with Higher OrderBoundary Conditions on a Union of Strips�, American Institute of Physics, AIP - Conf. Proc. 1186(2009), 49�56.MSC2000: 47A53, 35J25, 78A45, 47A20, 47B35, 45E10.

[A63] A. P. Nolasco, L. P. Castro: �A Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators with Piece-wise Almost Periodic Fourier Symbols�, Journal of Operator Theory 62(1) (2009), 3�31.MSC2000: 47B35, 47A68, 47A53, 42A75.

[A64] A. P. Nolasco, L. P. Castro: �A Criterion for Lateral Invertibility of Matrix Wiener-Hopf plus HankelOperators with Good Hausdor� Sets�, in �More Progresses in Analysis� (H. Begehr, F. Nicolosi, edt.),World Scienti�c Publishing Co., 349�358 , 2009.MSC2000: 47B35, 47A68, 47A05, 42A75.

[A65] L. P. Castro, E. Rojas: �Explicit Operator Relations for Singular Integral Operators with a Flip ona Weighted Lebesgue Space�, in: Mathematical Problems in Engineering and Aerospace Sciences (S.Sivasundaram, ed.), Cambridge: Cambridge Scienti�c Publishers, 2009, 543-550.MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20.

[A66] L. P. Castro, A. M. Simões: �Fredholm Analysis for a Wave Di�raction Problem with Higher OrderBoundary Conditions on a Strip�, in: Mathematical Problems in Engineering and Aerospace Sciences(S. Sivasundaram, ed.), Cambridge: Cambridge Scienti�c Publishers, 2009, 535�542.MSC2000: 35L60, 47A53, 47B35, 47F05, 47G10.

[A67] L. P. Castro, E. Pesetskaya, S. Rogosin: �E�ective Conductivity of a Composite Material with Non-ideal Contact Conditions�, Complex Variables and Elliptic Equations 54 (2009), 1085�1100.MSC2000: 30E25, 35B27, 74Q05, 74M15.

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[A68] G. Bogveradze, L. P. Castro: �Fredholm Characterization of Wiener-Hopf-Hankel Integral Operatorswith Piecewise Almost Periodic Symbols�, C. Constanda (ed.) et al., Integral Methods in Science andEngineering, Boston: Birkhäuser, 2010, 65�74.MSC2010: 47B35, 47A53, 47A68, 42A75.

[A69] L. P. Castro, A. Ramos: �Hyers-Ulam and Hyers-Ulam-Rassias Stability of Volterra Integral Equa-tions with a Delay�, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston:Birkhäuser, 2010, 85�94.MSC2010: 45M10, 45D05, 34K20, 39B82, 47H99.

[A70] L. P. Castro, A. Silva: �Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and MinusHankel Operators with Symmetry�, C. Constanda (ed.) et al., Integral Methods in Science and Engi-neering, Boston: Birkhäuser, 2010, 95�104.MSC2010: 47B35, 47A53, 42A75.

[A71] L. P. Castro, E. M. Rojas: �Invertibility of Singular Integral Operators with Flip through ExplicitOperator Relations�, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston:Birkhäuser, 2010, 105�114.MSC2010: 47G10, 47A53, 45E05, 45F15, 47A20.

[A72] L. P. Castro, D. Kapanadze: �Exterior Wedge Di�raction Problems with Dirichlet, Neumann andImpedance Boundary Conditions�, Acta Applicanda Mathematicae 110 (2010), 289�311.MSC2010: 35J25, 35J05, 45E10, 47A20, 47G30, 47B35, 47H50.

[A73] L. P. Castro, E. Pesetskaya: �A Transmission Problem with Imperfect Contact for an UnboundedMultiply Connected Domain�, Mathematical Methods in the Applied Sciences 33 (2010), 517�526.MSC2010: 30E25, 35B27, 74Q05.

[A74] L. P. Castro, Q. Chen, S. Saitoh: �Source inversion of heat conduction from a �nite number ofobservation data�, Applicable Analysis 89(6) (2010), 801�813.MSC2010: 30E25, 35B27, 74Q05.

[A75] L. P. Castro, E. M. Rojas: �A collocation method for singular integral operators with re�ection�, RIMSKôkyûroku 1719 (2010), 155�167.MSC2010: 65L60, 65R20, 45E05, 47A53, 47G10.

[A76] L. P. Castro, A. S. Silva: �Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operatorswith Semi-Almost Periodic Symbols�, Cubo 12(2) (2010), 217�234.MSC2010: 47B35, 47A05, 47A12, 47A20, 42A75.

[A77] L. P. Castro, E.M. Rojas, S. Saitoh: �Inversion from di�erent kinds of information and real inversionformulas of the Laplace transform from a �nite number of data�, MESA � Mathematics in Engineering,Science and Aerospace 1(2) (2010), 181�190.MSC2010: 44A10, 46E22, 47A52, 44A15, 30C40.

[A78] L. P. Castro, E. M. Rojas: �Explicit solutions of Cauchy singular integral equations with weightedCarleman shift�, Journal of Mathematical Analysis and Applications 371 (2010), 128�133.MSC2010: 47G10, 47A68, 45E05, 45P05, 30E25, 47B37

[A79] L. P. Castro, S. Saitoh, Yoshihiro Sawano, Alberto M. Simões: �Discretization by the theory ofreproducing kernels�, RIMS Kôkyûroku 1719 (2010), 142�154.MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05.

[A80] L. P. Castro, A. S. Silva: �Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols onWeighted Lebesgue Spaces�, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 77�84.PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa. MSC2010: 47B35, 47A05, 47A68.

[A81] L. P. Castro, E. M. Rojas: �Bounds for the Kernel Dimension of Singular Integral Operators withCarleman Shift�, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 68�76.PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa. MSC2010: 47G10, 30E20, 45E05.

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[A82] L. P. Castro, A. M. Simões: �On the Solvability of a Problem of Wave Di�raction by a Union of aStrip and a Half-Plane�, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 85�96.PACS: 02.30.Tb; 43.20.Bi; 41.20.Jb; 02.30.Jr; 02.30.Sa; 02.30.Rz; 02.30.Uu. MSC2010: 35J05, 35J25,47A68, 47B35.

[A83] L. P. Castro, A. Silva: �Fredholm property of matrix Wiener-Hopf plus and minus Hankel operatorswith piecewise almost periodic symbols�, Bulletin of the Greek Mathematical Society 57 (2010), 99�113.MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10.

[A84] L. P. Castro, E. M. Rojas: �Moore-Penrose invertibility of singular integral operators with Carlemanshift�, Bulletin of the Greek Mathematical Society 57 (2010), 83�97.MSC2010: 41A35, 45E05, 47A53, 15A09.

[A85] L. P. Castro, E. M. Rojas: �On the Solvability of Singular Integral Equations with Re�ection on theUnit Circle�, Integral Equations and Operator Theory 70 (2011), 63�99.MSC2010: 45E10, 30E20, 30E25, 47A68, 47G10.

[A86] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: �Fundamental error estimateinequalities for the Tikhonov regularization using reproducing kernels�, short version of [A99], HokkaidoUniversity Technical Report Series in Mathematics 147 (edited by Mikihiro Hayashi, Takahiko Nakazi,Masahiro Yamada, Rikio Yoneda), 2011, 73�78.MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30.

[A87] L. P. Castro, D. Kapanadze, R. Duduchava: �Electromagnetic scattering by cylindrical orthotropicwaveguide irises�, Georgian Mathematical Journal 18 (2011), 99�120.MSC2010: 30E25, 35B27, 74Q05.

[A88] L. P. Castro, A.S. Silva: �On the invertibility of classes of integral operators via generalized factoriza-tions�, American Institute of Physics, AIP - Conf. Proc. 1404 (2011), 242�249.PACS: 02.30.Tb; 02.30.Rz; 02.30.Sa

[A89] L. P. Castro, A. S. Silva: �Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators on MuckenhouptWeighted Lebesgue Spaces�, MESA � Mathematics in Engineering, Science and Aerospace 2, No. 4(2011), 341�353.MSC2010: 47B35, 47A53, 42A75.

[A90] L. P. Castro, A. Ramos: �Hyers-Ulam Stability for a Class of Fredholm Integral Equations�, Pro-ceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace andScience, Cambridge Scienti�c Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 171�176.MSC2010: 45M10, 45D05, 34K20.

[A91] L. P. Castro, A. Silva: �Wiener-Hopf-Hankel Operators with Semi-almost Periodic Symbols onWeightedLebesgue Spaces�, Proceedings of the 8th International Conference of Mathematical Problems in Engi-neering, Aerospace and Science, Cambridge Scienti�c Publishers (ISBN: 978-1-908106-18-6), UK, 2011,193�202.MSC2010: 45M10, 45D05, 34K20.

[A92] L. P. Castro, E. M. Rojas: �Splitting Property for Singular Integral Operators with a Weighted Shift�,Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospaceand Science, Cambridge Scienti�c Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 177�184.MSC2010: 47G10, 45E05, 45P05, 47A53, 47B35.

[A93] L. P. Castro, E. M. Rojas: �Continuous Coe�cient Representations for Singular Integral Operatorswith Shift�, Proceedings of the 8th International Conference of Mathematical Problems in Engineering,Aerospace and Science, Cambridge Scienti�c Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 185�192.MSC2010: 47G10, 30E20, 45E05, 47A53, 47B35.

[A94] L. P. Castro, A. S. Silva: �Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almostperiodic symbols on weighted Lebesgue spaces�, Memoirs on Di�erential Equations and MathematicalPhysics 53 (2011), 39�62.MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10.

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[A95] L. P. Castro, A.S. Silva: �Defect numbers of singular integral operators with Carleman shift and almostperiodic coe�cients�, Journal of Mathematical Analysis and Applications 387 (2012), 66�76.MSC2010: 47B35, 45E05, 47A68, 47B37, 47G10, 47A53, 42A75

[A96] L. P. Castro, S. Saitoh: �Applications of Reproducing Kernels to Fractional Functions and ConvolutionIntegral Equations�, Hokkaido University Technical Report Series in Mathematics 152 (2012), 57�63.MSC2010: 45E10, 46E22, 47A30, 47B32, 47B38, 47G10.

[A97] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: �Fundamental error estimateinequalities for the Tikhonov regularization using reproducing kernels�, in: Inequalities and Applica-tions (ISBN 978-3-0348-0248-2), C. Bandle, A. Gilányi, L. Losonczi, M. Plum (Eds.), InternationalSeries of Numerical Mathematics 161, Birkhäuser Verlag, 87�101, 2012.MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30.

[A98] L. P. Castro, S. Saitoh: �Natural outputs and global inputs of linear systems with a �nite number ofinput data�, Appl. Anal. 91(2), (2012) 225�236.MSC2010: 44A15, 30C40, 35K05, 35K08, 35L05, 46E22, 46E35, 65J20.

[A99] L. P. Castro, S. Saitoh: �New convolutions and norm inequalities�, Mathematical Inequalities & Ap-plications 15 (3) (2012), 707�716.MSC2010: 44A35, 30C40, 42A85, 45E10, 46E22, 47A30, 47B32, 47B38, 47G10.

[A100] L. P. Castro, S. Saitoh, Y. Sawano, A. Simões: �General Inhomogeneous Discrete Linear Partial Dif-ferential Equations with Constant Coe�cients on the Whole Spaces�, Complex Analysis and OperatorTheory 6 (2012), 307�324.MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05.

[A101] L. P. Castro, A. M. Simões, Integral equation methods in problems of wave di�raction by a stripwith higher order reactance conditions, American Institute of Physics, AIP - Conf. Proc. 1493 (Ed.:S. Sivasundaram), 904�910, NY, 2012.

[A102] L. P. Castro, S. Saitoh, Y. Sawano, A. S. Silva: �Discrete linear di�erential equations�, Analysis 32(2012), 181�198. MSC2010: 34A25, 34B05, 30C40, 46E22, 47B32, 47A52.

[A103] L. P. Castro, S. Saitoh, N. M. Tuan: �Convolutions, integral transforms and integral equations bymeans of the theory of reproducing kernels�, Opuscula Mathematica 32(2012), no. 4, 633�646.MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.

[A104] L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolutioninequalities, Progress in Analysis, Volume 1 (eds.: V.Burenkov et al.), Moscow, Peoples' FriendshipUniversity of Russia, 2012, 230�237.MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.

[A105] L. P. Castro, H. Itou, S. Saitoh: �Numerical Solutions of Linear Singular Integral Equations by meansof Tikhonov Regularization and Reproducing Kernels�, Houston Journal of Mathematics 38(4) (2012),1261�1276.MSC2010: 45E05; 45L05; 30C40; 65R20.

[A106] L. P. Castro, A.S. Silva: Wiener-Hopf-Hankel operators with piecewise continuous Fourier symbolson variable exponent Lebesgue spaces, L.H. Son, W. Tutschke, edts, Interactions between Real andComplex Analysis, 243-255, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministryfor Science and Technology of Vietnam, Ha Noi, 2012.MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75.

[A107] L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, A new discretization method by means ofreproducing kernels, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis,185-223, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministry for Science andTechnology of Vietnam, Ha Noi, 2012.MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32, 47B38, 47G10, 65R20.

[A108] L. P. Castro, S. Saitoh: �Applications of reproducing kernels to fractional functions and convolutioninequalities�, Progress in Analysis, Vol. 1, Proceedings of the 8th Congress of the International Societyfor Analysis, its Applications, and Computation (V.I. Burenkov, M.L. Goldman, E.B. Laneev and V.D.

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Stepanov; eds), ISBN: 978-5-209-04582-3, Peoples' Friendship University of Russia, Moscow, 2012, 230�237.MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.

[A109] L. P. Castro, S. Saitoh: �Fractional Functions and their Representations�, Complex Analysis andOperator Theory 7(4) (2013), 1049�1063. DOI 10.1007/s11785-011-0154-1 MSC2010: 46E22, 30C40,42A38, 47B32.

[A110] L. P. Castro, D. Kapanadze: �Wave di�raction by a half-plane with an obstacle perpendicular to theboundary�, Journal of Di�erential Equations 254 (2013), 493�510.MSC2010: 35J05, 35L05, 35L20, 78A45

[A111] L. P. Castro, D. Kapanadze: �Mixed boundary value problems of di�raction by a half-plane with ascreen/crack perpendicular to the boundary�, Proc. A. Razmadze Math. Inst. 162 (2013), 121�126.MSC2010: 35J05, 35L05, 35L20, 78A45.

[A112] L. P. Castro, K. Murata, S. Saitoh, M. Yamada: �Explicit Integral Representations of ImplicitFunctions�, Carpathian Journal of Mathematics 29(2) (2013), 141�148. MSC2010: 26B10, 30C40,47J07, 93C10.

[A113] L. P. Castro, A. M. Simões: �The impedance problem of wave di�raction by a strip with higher orderboundary conditions�, American Institute of Physics, AIP - Conf. Proc. 1561, M. D. Todorov et al,184�193, NY, 2013.

[A114] L. P. Castro, A.S. Silva: �Invertibility Criteria for Wiener-Hopf plus Hankel Operators with Di�erentAlmost Periodic Fourier Symbol Matrices�, Annali di Matematica Pura ed Applicata 192 (2013), 1141�1152 DOI 10.1007/s10231-012-0262-1. MSC2010: 47B35, 47A05, 47A20, 42A75

[A115] L. P. Castro, R. C. Guerra: �Hyers-Ulam-Rassias stability of Volterra integral equations withinweighted spaces�, Libertas Mathematica (new series) 33(2) (2013), 21�35. MSC2010: 45M10, 45D05,34K20, 39B82, 47H99.

[A116] L. P. Castro, S. Saitoh: �Optimal and Approximate Solutions of Singular Integral Equations bymeans of Reproducing Kernels�, Complex Analysis and Operator Theory 7 (2013), 1839�1851 DOI10.1007/s11785-012-0254-6 MSC2010: 45E05, 45L05, 30C40, 65R20.

[A117] L. P. Castro, M. M. Rodrigues: �The Weierstrass�Whittaker integral transform�, Memoirs on Dif-ferential Equations and Mathematical Physics 60 (2013), 57�72.

[A118] L.P. Castro, M.R. Haqueb, M.M. Murshed, S. Saitoh, N.M. Tuan, �Quadratic Fourier transforms�,Annals of Functional Analysis 5(1) (2014), 10�23. MSC2010: 42A38, 30C40, 32A36, 46E22.

[A119] L.P. Castro, R. Duduchava, F.-O. Speck, �Di�raction from polygonal-conical screens, an operatorapproach�, Oper. Theory Adv. Appl. 242 (2014), 113�137.

[A120] L. P. Castro, D. Kapanadze: �Mixed boundary value problems of di�raction by a half-plane withan obstacle perpendicular to the boundary�, Mathematical Methods in Applied Sciences 37 (2014),1412�1427. MSC2010: 35J05, 35L05, 35L20, 78A45

Accepted Works (but not yet published or only published in �Online First�):

[A121] L. P. Castro, H. Fujiwara, M. M. Rodrigues, S. Saitoh and V. K. Tuan, �Aveiro Discretization Methodin Mathematics: A New Discretization Principle�, in: Mathematics without Boundaries: Surveys inPure Mathematics, Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York,52 pp., to appear. MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32,47B38, 47G10, 65R20.

[A122] L. P. Castro, H. Fujiwara, T. Qian, S. Saitoh: �How to catch smoothing properties and analyticity offunctions by computers?�, in: Mathematics without Boundaries: Surveys in Interdisciplinary Research,Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York, 15 pp., to appear.MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.

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[A123] L. P. Castro, M. M. Rodrigues, S. Saitoh, �Initial value problems in linear integral operator equations�,in: Topics in Mathematical Analysis and Applications, Themistocles M. Rassias and Laszlo Toth (edts.),Springer-Verlag, New York, 12 pp., to appear. MSC2010: 45C05, 32A30, 42A38, 45A05, 45D05, 45E05,45P05, 46E22, 47A05.

[A124] L. P. Castro, M. M. Rodrigues, S. Saitoh: �A fundamental theorem on initial value problems byusing the theory of reproducing kernels�, Complex Analysis and Operator Theory, 11pp., to appear.MSC2010: 58J47, 32A25, 45Q05, 46E22, 47A70, 47B32.

[A125] L.P. Castro, A.S. Silva, Interplay of Wiener-Hopf and Hankel operators with almost periodic Fouriersymbols on standard and variable exponent Lebesgue spaces, 12 pp. Annals of Functional Analysis, toappear.MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75.

[A126] L. P. Castro, D. Kapanadze, E. Pesetskaya, �A heat conduction problem of 2D unbounded compos-ites with imperfect contact conditions�, ZAMM - Journal of Applied Mathematics and Mechanics /Zeitschrift für Angewandte Mathematik und Mechanik, 14 pp., to appear.

Scientific Communications about New Results

Luis Castro gave (himself) more than 35 talks at research seminars and 65 talks at conferences orworkshops. His co-authors gave over other 100 talks about joint works.

20 examples of recent scientific talks delivered by L. Castro:

[T1] Invited Talk:Invertibility of Toeplitz-like Operators Arising in Oblique Derivative Boundary Value Problems for theHelmholtz Equation, �International Workshop on TOEPLITZ-LIKE OPERATORS AND RELATEDTOPICS�, November 2008, CINVESTAV, México City, México.

[T2] Key Lecture:Problems of Wave Di�raction by Quadrants Analysed by a Half-line Potential Approach, �First In-ternational Conference on Application of Mathematics in Technical and Natural Sciences�, June 2009,Bulgaria.

[T3] Main Talk:A Polynomial Collocation Method for a Class of Singular Integral Equations with Shift, Workshop�Recent Developments of Numerical Analysis and Numerical Computation Algorithms� (organized by:Kaname Amano (Graduate School of Science and Engineering, Ehime Univ.), December 2009, ResearchInstitute for Mathematical Sciences, Kyoto University, Japan.

[T4] Plenary Talk:Integral Equation Modelling of Electromagnetic Scattering by Waveguides, �Advanced School on Inte-gral Equations�, April 2010, Instituto Superior Técnico, Technical University of Lisbon, Lisbon.

[T5] Invited Talk:Methods from Operator Theory in Di�raction Problems, II Meeting of Mathematical Analysis, June2010, University of Trás-os-Montes and Alto Douro, Vila Real, Portugal.

[T6] Key Lecture:Electromagnetic Scattering by Orthotropic Waveguides, �Second Conference of the Euro-AmericanConsortium for Promoting the Application of Mathematics in Technical and Natural Sciences�, June2010, Sozopol, Bulgaria.

[T7] Invited Talk:A transmission problem with imperfect contact on unbounded double periodic multiply connected do-mains, �Workshop on Operator Theory, Complex Analysis and Applications�, October 2010, TechnicalUniversity of Lisbon, UTL, Lisbon.

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[T8] Key Lecture:The Helmholtz equation in 270 degrees wedge sectors facing Dirichlet, Neumann and impedance bound-ary conditions, �AMiTaNS'11 � Third Conference of the Euro-American Consortium for Promoting theApplication of Mathematics in Technical and Natural Sciences�, June 2011, Albena, Bulgaria.

[T9] Plenary Talk:Algebraization of Stability for Singular Integral Equations, �Dincon 2011: X Conferência Brasileira deDinâmica, Controle e Aplicações�, August-September 2011, Águas de Lindóia, São Paulo, Brazil.

[T10] On the Fredholm Property of Wiener-Hopf and Wiener-Hopf-Hankel Operators with Piecewise-AlmostPeriodic Symbols on Weighted Lebesgue Spaces, INTERNATIONAL CONFERENCE �CONTINUUMMECHANICS AND RELATED PROBLEMS OF ANALYSIS�, dedicated to the 120-th birthday an-niversary of academician N. Muskhelishvili, September 2011, Tbilisi, Georgia

[T11] Plenary Talk:Projection Methods and Generalized Solutions for a Class of Singular Integral Equations with CarlemanShift, �II International Conference of the Georgian Mathematical Union�, September 2011, Batumi,Georgia.

[T12] Invited Talk:�Wiener-Hopf plus Hankel operators in exterior wedge problems for the Helmholtz equation�, January25, 2012, Dipartimento di Matematica, Università degli Studi di Padova, Italy.

[T13] Invited Talk:Wiener-Hopf andWiener-Hopf-Hankel Operators with Piecewise-Almost Periodic Symbols onWeightedLebesgue Spaces, �The Second Wiener-Hopf Workshop�, June 2012, Aberystwyth University, UK.

[T14] Potential and variational methods in wave di�raction problems with impedance and Dirichlet-typeconditions, �ICNPAA 2012 World Congress: 9th International Conference on Mathematical Problemsin Engineering, Aerospace and Sciences� (Section: "Integral Equations and Their Applications inScience and Technology"), section organized by L. Castro and J. Banas, July 2012, Vienna Universityof Technology, Austria.

[T15] Plenary Talk:Fredholm theory of Wiener-Hopf-Hankel operators in weighted Lebesgue spaces, �The 20th Interna-tional Conference on Finite or In�nite Dimensional Complex Analysis and Applications�, July-August2012, Hanoi University of Science and Technology, Vietnam.

[T16] Invited Talk:A crack problem in wave di�raction for di�erent types of boundary conditions, �Workshop on OperatorTheory and Operator Algebras 2012�, September 2012, IST, Technical University of Lisbon, Lisbon,Portugal.

[T17] Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variableexponent Lebesgue spaces, �GPOTS 2013: Great Plains Operator Theory Symposium�, May 2013,Berkeley, University of California at Berkeley, United States of America.

[T18] Invited Talk:Boundary integral methods for classes of wedge di�raction problems with Dirichlet, Neumann andimpedance boundary conditions, �Meeting on Operator Theory, Complex Analysis and Applications2013�, July 2013, University of Minho at Guimarães, Portugal.

[T19] Invited Talk:Wave di�raction boundary value problems with a crack in the main boundary, �International Work-shop on Analysis, Di�erential Equations and Control Theory�, Instituto de Física y Matemáticas,Universidad Michiocana de San Nicolás, Morelia, México, 17�21/02/2014.

[T20] Invited Talk:Operator theory analysis of Dirichlet-Neumann boundary value problems in a half-plane with a crack,WOTCA 2014 � Workshop on Operator Theory, Complex Analysis, and Applications, Instituto Supe-rior Técnico, Lisboa, Portugal, June 19-21, 2014.

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Member of Academic Juries

L. Castro was member of a great variety of Academic Juries in the Portuguese Universities (for Full Pro-fessor, Associate Professor and Auxiliary Professor positions; in Ph.D. and M.Sc. candidates examinations;for Research positions in the Portuguese System of the Foundation for Science and Technology; in Scienti�cPrizes).

Master Theses Supervision

[10.09.01�13.04.03] Dorabella Martins da Silva: �Wiener-Hopf Operators, Factorizations and RealizationTheory� (in Portuguese), xii + 96 p., University of Aveiro, April 2003. Supervisor:Luís Castro.

[07.10.02�14.06.04] Alberto Manuel Tavares Simões: �Matricial Relations and Invertibility of Convolu-tion Type Operators in Lebesgue Spaces� (in Portuguese), viii + 119 p., Universityof Aveiro, June 2004. Supervisor: Luís Castro.

[27.02.04�07.07.06] Paulo Alexandre Teixeira Pereira: �Wiener-Hopf-Hankel Operators� (in Portuguese),v + 63 p., University of Aveiro, July 2006. Supervisor: Luís Castro.

[18.07.05�19.07.07] Ana Rute Esteves: �Fredholm Theory in Hilbert Spaces� (in Portuguese), 54 p.,University of Aveiro, July 2007. Supervisor: Luís Castro.

[18.07.05�17.07.07] Cátia Rodrigues: �Stability and Regularity of Toeplitz and Hankel Matrices� (inPortuguese), 102 p., University of Aveiro, July 2007. Supervisor: Luís Castro.

PhD Supervision

[09.09.02�12.03.07] Ana Paula Branco Nolasco: �Regularity properties of Wiener-Hopf-Hankel opera-tors�, xiv + 178 p., University of Aveiro. Supervisor: Luís Castro.Ana Nolasco was supported by the scholarship SFRH/BD/11090/2002, Fundaçãopara a Ciência e a Tecnologia (Portugal).

[01.04.05�09.04.08] Giorgi Bogveradze: �Fredholm Theory for Wiener-Hopf plus Hankel operators�, xvii+ 169 p., University of Aveiro. Supervisor: Luís Castro.Giorgi Bogveradze was supported by a scholarship from UI&D Matemática e Apli-cações, Fundação para a Ciência e a Tecnologia (Portugal).

[02.01.07�10.12.10] Edixon Manuel Rojas Santana (MSc): �A Study of Singular Integral Operators withShift�, xiv + 182 p., University of Aveiro.Supervisor: Luís Castro.Edixon Rojas Santana was supported by the scholarship SFRH/BD/30679/2006,Fundação para a Ciência e a Tecnologia (Portugal).

[01.03.07�09.06.2011] Alberto Manuel Tavares Simões (MSc): �Problemas do tipo de Sommerfeld comCondições de Fronteira de Ordem Superior�, 197 p., University of Beira Interior.Supervision of Luís Castro and co-supervision of Prof. António Bento (University ofBeira Interior), Portugal.

[01.10.07�14.12.2011] Anabela de Sousa e Silva: �Regularity of Wiener-Hopf plus Hankel operators�, xvi +177 p., University of Aveiro. Supervisor: Luís Castro.Anabela Silva was supported by the scholarship SFRH/BD/38698/2007, da Fun-dação para a Ciência e a Tecnologia (Portugal).

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Post-Doc Supervision

[15.10.01�14.04.02] Levan Sigua (I. Javakhishvili Tbilisi State University, Tbilisi, Georgia): �Convolu-tion Type Operators and Di�raction Theory�, UI&D Mathematics and Applicationsscholarship. Supervisor: Luís Castro.

[01.09.05�31.08.08] David Kapanadze (Razmadze Mathematical Institute, Tbilisi, Georgia): �Sommer-feld Type Di�raction Problems with Real Wave Numbers�, FCT scholarship. Super-visor: Luís Castro.

[01.07.07�30.06.08] Ekaterina Vladimirovna Pesetskaya (Belarusian State University, Mathematics andMechanics Faculty, Belarus): �Mixed Boundary Value Problems for Multiply Con-nected Domains and their Applications to Composite Materials�, FCT scholarship.Supervisor: Luís Castro.

[01.03.12]�[31.12.12] Anabela de Sousa e Silva, �Convolution type operators and integral transforms invariable exponent Lebesgue spaces�, CIDMA scholarship. Supervisor: Luís Castro.

[01.05.11] � present Matteo Dalla Riva: �Singular perturbation problems for equations and systems of dif-ferential equations�, FCT scholarship (with number SFRH/BPD/64437/2009). Su-pervisor: Luís Castro.

Organization of Conferences and Workshops

[2005] Main Organizer (Chairman) of �Conference on Operator Theory, Function Spacesand their Applications (dedicated to the 60th birthday of Professor F.-O. Speck)�,Department of Mathematics, University of Aveiro, July 2005.Invited talks by: J. Cerdà - Barcelona; M. Costabel - Rennes; R. Duduchava - Tbilisi;S. Ja�ard - Paris; Yu. Karlovich - Mexico; V. Maz'ya - Linköping; D. Natroshvilli -Tbilisi; S. Samko - Faro; B. Silbermann - Chemnitz; H. Triebel - Jena; H. Upmeier -Marburg; W. L. Wendland - Stuttgart. Total number of conference participants: 90.

[2006] Member of the Organizing Committee of �Conference on Views on ODEs� (in honor ofProfessors Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday;http://www.divp-proj.org), Department of Mathematics, University of Aveiro, June2006. 50 communications and 76 participants in total.

[2010] Main Organizer (Chairman) of First Annual Workshop of Functional Analysis andApplications Group (May 2010; 16 participants), University of Aveiro.

[2009-10] SS12. Integral Equations and their ApplicationsICNPAA 2010 World Congress, INPE, São José dos Campos (SP), Brazil, June 30,2010 � July 3, 2010.

Session Organizers:Luis Castro, Universidade de Aveiro, Aveiro, PortugalStefan Samko, Universidade do Algarve, Faro, PortugalThis section was devoted to integral equations and their applications to the areasof the general scope of the conference. Special emphasis is put in the analysis ofproperties of Fredholm, Volterra and singular integral equations including equationsgenerated by Wiener-Hopf, Toeplitz, Hankel and fractional order integral opera-tors and their various applications. Talks presenting the use of integral equationsin the areas of aerodynamics, �uid mechanics and wave di�raction were especiallywelcomed.

[2011] Main Organizer (Chairman) of �IDOTA2011: Integral and Di�erential Operatorsand Their Applications - An International Conference in Honour of Professor StefanSamko on the occasion of his 70th birthday�, Departamento de Matemática, Univer-sidade de Aveiro, June-July 2011 (http://idota2011.glocos.org).

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Invited talks by: Martin Costabel (Université de Rennes 1, France); Roland Dudu-chava (Ivane Javakhishvili State University of Tbilisi, Georgia); George Hsiao (Uni-versity of Delaware, USA); Vakhtang Kokilashvili (Georgian Academy of Sciences,Georgia); Carlos Pérez (University of Seville, Spain); Lars-Erik Persson (Luleå Uni-versity of Technology, Sweden); Ilya Spitkovsky (College of William and Mary, USA);Vladimir Rabinovich (National Polytechnic Institute, Mexico); Wolfgang Wendland(University of Stuttgart, Germany).

Total number of participants: 100.

Scienti�c Committee: Ravi P. Agarwal (Melbourne, USA); Luís Castro (Aveiro, Por-tugal); Martin Costabel (Rennes, France); Roland Duduchava (Tbilisi, Georgia);António Ferreira dos Santos (Lisbon, Portugal); Paulo Jorge Ferreira (Aveiro, Portu-gal); George Hsiao (Delaware, USA); Vakhtang Kokilashvili (Tbilisi, Georgia); DavidNatroshvili (Tbilisi, Georgia); Nikolaos Papageorgiou (Athens, Greece); Carlos Pérez(Sevilla, Spain); Lars-Erik Persson (Luleå, Sweden); Gueorgui Smirnov (Braga, Por-tugal); Frank-Olme Speck (Lisbon, Portugal); Ilya Spitkovsky (Williamsburg, USA);Saburou Saitoh (Aveiro, Portugal); Vasile Staicu (Aveiro, Portugal); Ioannis Stratis(Athens, Greece); José Miguel Urbano (Coimbra, Portugal); Vladimir Rabinovich(Mexico City, Mexico); Wolfgang L. Wendland (Stuttgart, Germany).

Organizing Committee: Alexandre Almeida; António Caetano; Luís Castro (Chair-man); Ana Paula Nolasco; Humberto Rafeiro; Eugénio Rocha; Manuela Rodrigues;Sandrina Santos; Frank-Olme Speck.

The topics of the conference included: Integral and Di�erential Operators; Vari-able Exponent Analysis; Harmonic Analysis; Function Spaces; Nonlinear Analysis;Factorization Theory; Boundary Value Problems and PDEs.

[2011] Main Organizer (Chairman) of Second Annual Workshop of Functional Analysis andApplications Group (October 2011; 17 participants), University of Aveiro.

[2012] SS7. Integral Equations and Their Applications in Science and TechnologyICNPAA 2012 World Congress, Vienna University of Technology, Vienna, Austria;July 10, 2012 - July 14, 2012.

Session Organizers:Luis Castro (University of Aveiro, Aveiro, Portugal) and Jozef Banas (Rzeszów Uni-versity of Technology, Poland)The aim of the session was to discuss both the theory of integral equations and theirapplications in engineering, mechanics, mathematical physics and so on. Special em-phasis was considered on nonlinear integral equations, functional integral equationsand the systems of integral equations. We considered various topics of the theoryof those integral equations which have a wide range of applications. The theory offractional integral equations and their numerous applications was also included.

[2012] Main Organizer (Chairman) of Third Annual Workshop of Functional Analysis andApplications Group (October 2012; 20 participants), University of Aveiro.

[2013] Main Organizer (Chairman) of the �CIDMA2013 � A meeting of the Center forResearch & Development in Mathematics and Applications� (January 2013; 90 par-ticipants). This was a two days meeting and the �rst of a series of yearly meetingsof the Research Center CIDMA, aimed to serve as a gathering point of all the mem-bers of this Center and where each of its groups selects a number of presentationsregarding the research carried out during the past year.

[2013] Main Organizer (Chairman) of the CIDMA and Department of Mathematics of Uni-versity of Aveiro Colloquium (May 2013; September 2013; November 2013).

[2013] Main Organizer (Chairman) of Fourth Annual Workshop of Functional Analysis andApplications Group (June 2013; 18 participants), University of Aveiro.

[2014] Main Organizer (Chairman) of the �CIDMA2014 � A meeting of the Center forResearch & Development in Mathematics and Applications� (January 2014). A twodays meeting. University of Aveiro.

19

[2014] Main Organizer (Chairman) of the 5th Annual Workshop of Functional Analysisand Applications Group � devoted to the 70th birthday of Professor Saburou Saitoh(May 24, 2014; 30 participants).

[2014] Main Organizer (Chairman) of the WIMCS�CIDMA Workshop �The Wiener-HopfTechnique and its Applications�, to occur in June 2014, at University of Aveiro, as ajoint organization of �WIMCS � Wales Institute of Mathematical and ComputationalSciences� and �CIDMA � Centro de Investigação e Desenvolvimento em Matemáticae Aplicações�, Universidade de Aveiro.

[2014] Co-organizer of the Special Session 1 (SS1): �Integral Equations and Their Appli-cations in Science and Technology� in the �ICNPAA 2014 World Congress�, NarvikUniversity, Norway, July 2014.

Referee and Reviewer Services

[2002]�present Referee work for more than 20 di�erent international Mathematical Journals.

[2005]�present Reviewer for Zentralblatt Math (EMS).Cf. http://www.emis.de/ZMATH/ and the entries:

1. Zbl pre06302406Maniccia, L.; Schrohe, E.; Seiler, J., Determinants of classical SG-pseudodi�erentialoperators, Math. Nachr. 287, No. 7, 782-802 (2014).

2. Zbl pre06309432Chmieli«ski, Jacek, Normed spaces equivalent to inner product spaces and sta-bility of functional equations, Aequationes Math. 87, No. 1-2, 147-157 (2014).

3. Zbl pre06297930Rabinovich, Vladimir, Di�raction by periodic graphs, Complex Var. EllipticEqu. 59, No. 4, 578-598 (2014).

4. Zbl pre06286803Shipman, Stephen P.; Welters, Aaron T., Resonant electromagnetic scatteringin anisotropic layered media, J. Math. Phys. 54, No. 10, 103511, 40 p. (2013).

5. Zbl pre06258903Ito, Kazufumi; Jin, Bangti; Zou, Jun, A direct sampling method for inverseelectromagnetic medium scattering, Inverse Probl. 29, No. 9, Article ID 095018,19 p. (2013).

6. Zbl pre06258886Lakhal, A., KAIRUAIN-algorithm applied on electromagnetic imaging, InverseProbl. 29, No. 9, Article ID 095001, 18 p. (2013).

7. Zbl pre06256564Böttcher, Albrecht; Halwass, Martin, A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials, Electron. J. LinearAlgebra 26, 873-897 (2013).

8. Zbl pre06260869Bellet, Jean-Baptiste; Berginc, Gérard, Modèle e�ectif de couche mince rugueusepériodique sur une structure semi-in�nie, ESAIM, Math. Model. Numer.Anal. 47, No. 5, 1367-1386 (2013).

9. Zbl pre06258904Alqadah, H.F.; Valdivia, N., A frequency based constraint for a multi-frequencylinear sampling method, Inverse Probl. 29, No. 9, Article ID 095019, 27 p.(2013).

10. Zbl pre06269464Bommier-Hato, Hélène; Engli², Miroslav; Youss�, El-Hassan, Dixmier trace andthe Fock space, Bull. Sci. Math. 138, No. 2, 199-224 (2014).

20

11. Zbl pre06269420Li, Hao; Li, Songxiao, Norm of an integral operator on some analytic functionspaces on the unit disk, J. Inequal. Appl. 2013, Article ID 342, 7 p., electroniconly (2013).

12. Zbl pre06243131Jollivet, Alexandre, On inverse scattering at �xed energy for the multidimen-sional Newton equation in a non-compactly supported �eld, J. Inverse Ill-PosedProbl. 21, No. 6, 713-734 (2013).

13. Zbl pre06153566Karlovich, Yuri I.; Hernández, Iván Loreto, On convolution type operators withpiecewise slowly oscillating data, Karlovich, Yuri I. (ed.) et al., Operator the-ory, pseudo-di�erential equations, and mathematical physics. The VladimirRabinovich anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Ap-plications 228, 185-207 (2013).

14. Zbl pre06249809Ehrhardt, Torsten; Spitkovsky, Ilya M., On the kernel and cokernel of someToeplitz operators, Kaashoek, Marinus A. (ed.) et al., Advances in structuredoperator theory and related areas. The Leonid Lerer anniversary volume onthe occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances andApplications 237, 127-144 (2013).

15. Zbl pre06243001Qin, Hai-Hua; Liu, Ji-Chuan, Reconstruction for cavities with impedance bound-ary condition, J. Integral Equations Appl. 25, No. 3, 431-454 (2013).

16. Zbl 06200801Ambrose, David M.; Moskow, Shari, Scattering of electromagnetic waves bythin high contrast dielectrics: e�ects of the object boundary, Commun. Math.Sci. 11, No. 1, 293-314 (2013).MSC2010: 78A45 34E05 45E99

17. Zbl pre06198334Lechleiter, Armin; Nguyen, Dinh-Liem, On uniqueness in electromagnetic scat-tering from biperiodic structures, ESAIM, Math. Model. Numer. Anal. 47,No. 4, 1167-1184 (2013).MSC2010: 78A45 35A02 47A53

18. Zbl pre06198189Lin, Huimin; Xu, Zhenli; Tang, Huazhong; Cai, Wei, Image approximationsto electrostatic potentials in layered electrolytes/dielectrics and an ion-channelmodel, J. Sci. Comput. 53, No. 2, 249-267 (2012).MSC2010: 78A57 78A30 78A48 93B30

19. Zbl pre06163455Smith, J.Torquil; Berryman, James G., Time-reversal of electromagnetic scat-tering for small scatterer classi�cation, Inverse Probl. 28, No. 12, Article ID125011, 24 p. (2012).MSC2010: 78A46 78A50 78M25 78A45 65F20

20. BookZbl pre06059088Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy, Singular Traces. Theory andApplications. de Gruyter Studies in Mathematics 46. Berlin: de Gruyter. xvi,452 p., 2013.MSC2000: *47-02 47L20 46L85

21. Zbl pre06149158Böttcher, Albrecht; Spitkovsky, Ilya M., The factorization problem: some knownresults and open questions, Almeida, Alexandre (ed.) et al., Advances in Har-monic Analysis and Operator Theory. The Stefan Samko anniversary volume

21

on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Ap-plications 229, 101-122 (2013). MSC2010: 47A68 30E25 43A75 45F15 47B35

22. Zbl pre06126065Gallier, Jean; Xu, Dianna; Siqueira, Marcelo, Parametric pseudo-manifolds,Di�er. Geom. Appl. 30, No. 6, 702-736 (2012).

23. Zbl pre06140839Lechleiter, Armin; Nguyen, Dinh-Liem, Volume integral equations for scatteringfrom anisotropic di�raction gratings, Math. Methods Appl. Sci. 36, No. 3, 262-274 (2013).

24. Zbl pre06144448Górka, Przemysªaw; Kostrzewa, Tomasz; Reyes, Enrique G., The Rellich lemmaon compact abelian groups and equations of in�nite order, Int. J. Geom. Meth-ods Mod. Phys. 10, No. 2, Paper No. 1220030, 11 p. (2013).

25. Zbl pre06128303Statkevych, V.M., Investigation of solutions of boundary-value problems withessentially in�nite-dimensional elliptic operator, Ukr. Math. J. 64, No. 2,262-272 (2012).

26. BOOKZbl pre06043131Li, Jun-Chang; Picart, Pascal, Numerical Holography. Principle, algorithmsand applications. Paris: Hermes; Paris: Lavoisier (ISBN 978-2-7462-3200-6/pbk), 378 p., 2012.

27. Zbl pre06064786Lakshtanov, E.; Sleeman, B. D.; Vainberg, B., High frequency scattering by aclassically invisible body, SIAM J. Appl. Math. 72, No. 2, 646-669 (2012).

28. Zbl 1244.34082Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, Onsemilinear integro-di�erential equations with nonlocal conditions in Banachspaces, Abstr. Appl. Anal. 2012, Article ID 137576, 26 p. (2012).

29. Zbl pre06054098Qiao, Yu; Nistor, Victor, Single and double layer potentials on domains withconical points. I: Straight cones, Integral Equations Oper. Theory 72, No. 3,419-448 (2012).

30. Zbl pre06093123Chepoi, Victor; Maftuleac, Daniela, Shortest path problem in rectangular com-plexes of global nonpositive curvature, Comput. Geom. 46, No. 1, 51-64 (2013).

31. Zbl pre06028392Jorgensen, Palle E.T.: Ergodic scales in fractal measures, Math. Comput. 81,No. 278, 941-955 (2012).

32. Zbl pre06034839Recio, Tomas; Sendra, J.Rafael; Tabera, Luis Felipe; Villarino, Carlos: Algo-rithmic detection of hypercircles, Math. Comput. Simul. 82, No. 1, 54-67(2011).

33. Zbl pre06036560Dumitrescu, Adrian: Going around in circles, Comput. Geom. 45, No. 7,370-381 (2012).

34. Zbl pre06030218Li, Nan; Zhi, Lihong: Computing isolated singular solutions of polynomialsystems: case of breadth one, SIAM J. Numer. Anal. 50, No. 1, 354-372(2012).

35. Zbl pre06031628Xiong, Xiangtuan; Zhu, Liqin; Li, Ming: Regularization methods for a problemof analytic continuation, Math. Comput. Simul. 82, No. 2, 332-345 (2011).

22

36. Zbl pre06005602Abanin, A.V.; Ishimura, R.; Le Hai Khoi: Extension of solutions of convolutionequations in spaces of holomorphic functions with polynomial growth in convexdomains, Bull. Sci. Math. 136, No. 1, 96-110 (2012).

37. Zbl pre06008782Ouedraogoo, Marie-Françoise; Paycha, Sylvie: The multiplicative anomaly fordeterminants revisited, Commun. Math. Anal. 12, No. 1, 28-63, electroniconly (2012).

38. Zbl pre05966256Galvis, Juan; Versieux, Henrique: Introduction to the numerical approxima-tion of partial di�erential equations via the �nite-element method. 28th Brazil-ian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 PublicaçõesMatemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Purae Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).

39. Zbl pre06126065Gallier, Jean; Xu, Dianna; Siqueira, Marcelo, Parametric pseudo-manifolds,Di�er. Geom. Appl. 30, No. 6, 702-736 (2012).

40. Zbl pre06140839Lechleiter, Armin; Nguyen, Dinh-Liem, Volume integral equations for scatteringfrom anisotropic di�raction gratings, Math. Methods Appl. Sci. 36, No. 3, 262-274 (2013).

41. Zbl pre06144448Górka, Przemysªaw; Kostrzewa, Tomasz; Reyes, Enrique G., The Rellich lemmaon compact abelian groups and equations of in�nite order, Int. J. Geom. Meth-ods Mod. Phys. 10, No. 2, Paper No. 1220030, 11 p. (2013).

42. Zbl pre06128303Statkevych, V.M., Investigation of solutions of boundary-value problems withessentially in�nite-dimensional elliptic operator, Ukr. Math. J. 64, No. 2,262-272 (2012).

43. BOOKZbl pre06043131Li, Jun-Chang; Picart, Pascal, Numerical Holography. Principle, algorithmsand applications. Paris: Hermes; Paris: Lavoisier (ISBN 978-2-7462-3200-6/pbk), 378 p., 2012.

44. Zbl pre06064786Lakshtanov, E.; Sleeman, B. D.; Vainberg, B., High frequency scattering by aclassically invisible body, SIAM J. Appl. Math. 72, No. 2, 646-669 (2012).

45. Zbl 1244.34082Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, Onsemilinear integro-di�erential equations with nonlocal conditions in Banachspaces, Abstr. Appl. Anal. 2012, Article ID 137576, 26 p. (2012).

46. Zbl pre06054098Qiao, Yu; Nistor, Victor, Single and double layer potentials on domains withconical points. I: Straight cones, Integral Equations Oper. Theory 72, No. 3,419-448 (2012).

47. Zbl pre06093123Chepoi, Victor; Maftuleac, Daniela, Shortest path problem in rectangular com-plexes of global nonpositive curvature, Comput. Geom. 46, No. 1, 51-64 (2013).

48. Zbl pre06028392Jorgensen, Palle E.T.: Ergodic scales in fractal measures, Math. Comput. 81,No. 278, 941-955 (2012).

49. Zbl pre06034839Recio, Tomas; Sendra, J.Rafael; Tabera, Luis Felipe; Villarino, Carlos: Algo-rithmic detection of hypercircles, Math. Comput. Simul. 82, No. 1, 54-67(2011).

23

50. Zbl pre06036560Dumitrescu, Adrian: Going around in circles, Comput. Geom. 45, No. 7,370-381 (2012).

51. Zbl pre06030218Li, Nan; Zhi, Lihong: Computing isolated singular solutions of polynomialsystems: case of breadth one, SIAM J. Numer. Anal. 50, No. 1, 354-372(2012).

52. Zbl pre06031628Xiong, Xiangtuan; Zhu, Liqin; Li, Ming: Regularization methods for a problemof analytic continuation, Math. Comput. Simul. 82, No. 2, 332-345 (2011).

53. Zbl pre06005602Abanin, A.V.; Ishimura, R.; Le Hai Khoi: Extension of solutions of convolutionequations in spaces of holomorphic functions with polynomial growth in convexdomains, Bull. Sci. Math. 136, No. 1, 96-110 (2012).

54. Zbl pre06008782Ouedraogoo, Marie-Françoise; Paycha, Sylvie: The multiplicative anomaly fordeterminants revisited, Commun. Math. Anal. 12, No. 1, 28-63, electroniconly (2012).

55. Zbl pre05966256Galvis, Juan; Versieux, Henrique: Introduction to the numerical approxima-tion of partial di�erential equations via the �nite-element method. 28th Brazil-ian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 PublicaçõesMatemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Purae Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).

56. BookZbl pre05966256Galvis, Juan; Versieux, Henrique: Introduction to the numerical approxima-tion of partial di�erential equations via the �nite-element method. 28th Brazil-ian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 PublicaçõesMatemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Purae Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).

57. Zbl pre06012139Tang, Lin: Weighted norm inequalities for pseudo-di�erential operators withsmooth symbols and their commutators J. Funct. Anal. 262, No. 4, 1603-1629(2012).

58. Zbl pre06005518Viola, Joe: Resolvent estimates for non-selfadjoint operators with double char-acteristics J. Lond. Math. Soc., II. Ser. 85, No. 1, 41-78 (2012).

59. Zbl pre05998299Palamodov, V.P.: An analytic reconstruction for the Compton scattering to-mography in a plane Inverse Probl. 27, No. 12, Article ID 125004, 8 p. (2011).

60. Zbl pre05998575Baryshev, A.V.; Eremin, Yu.A.: Justi�cation of integral representations for�elds in a di�raction problem on a cluster of particles in a plane-layered mediumDi�er. Equ. 47, No. 9, 1297-1306 (2011); translation from Di�er. Uravn. 47,No. 9, 1284�1293 (2011).

61. Zbl pre05988412Grubb, Gerd: Kre��n-like extensions and the lower boundedness problem forelliptic operators J. Di�er. Equations 252, No. 2, 852-885 (2012).

62. Zbl pre05990127Emmanouil, Panagiotis: The direct scattering problem: uniqueness and exis-tence for anisotropic media Q. Appl. Math. 69, No. 4, 747-758 (2011).

63. Zbl 1227.65044Zheng, Quan; Li, Jingya; Huang, Fengxi: An optimal Ste�ensen-type family

24

for solving nonlinear equations. (English) Appl. Math. Comput. 217, No. 23,9592-9597 (2011). MSC2000: *65H05, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

64. Zbl 1227.65042Dehghan, Mehdi; Hajarian, Masoud: On some cubic convergence iterative for-mulae without derivatives for solving nonlinear equations. (English) Int. J.Numer. Methods Biomed. Eng. 27, No. 5, 722-731 (2011). MSC2000: *65H05,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

65. Zbl 1227.42026Signahl, Mikael; Toft, Joachim: Remarks on mapping properties for the Bargmanntransform on modulation spaces. (English) Integral Transforms Spec. Funct.22, No. 4-5, 359-366 (2011). MSC2000: *42B35 44A15 44A20, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

66. Zbl 1227.42001Milovanovic, G.V.; Cvetkovic, A.S.; Stanic, M.P.: Moment functional and or-thogonal trigonometric polynomials of semi-integer degree. (English) J. Com-put. Anal. Appl. 13, No. 5, 907-922 (2011). MSC2000: *42A05 42C05 42C15,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

67. Zbl 1225.47055Bishop, Shannon: Schatten class Fourier integral operators. (English) Appl.Comput. Harmon. Anal. 31, No. 2, 205-217 (2011). MSC2000: *47G30 47B1042C15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

68. Zbl 1219.35148Derks, Gianne; Sasane, Sara Maad; Sandstede, Björn: Perturbations of em-bedded eigenvalues for the planar bilaplacian. (English) J. Funct. Anal. 260,No. 2, 340-398 (2011). MSC2000: *35P05 35J30 35B65, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

69. Zbl pre05970155El Badia, Abdellatif; Nara, Takaaki An inverse source problem for Helmholtz'sequation from the Cauchy data with a single wave number. (English) InverseProbl. 27, No. 10, Article ID 105001, 15 p. (2011). MSC2000: *35R30 35J05,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

70. Zbl pre05963635Romanov, V.G.: A stability estimate for a solution to an inverse problem ofelectrodynamics. (English. Russian original) Sib. Math. J. 52, No. 4, 682-695(2011); translation from Sib. Mat. Zh. 52, No. 4, 861�875 (2011). MSC2000:*78A40 45Q05 45K05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

71. Zbl pre05919175Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Haddar, Houssem: On the useof T -coercivity to study the interior transmission eigenvalue problem. (English.Abridged French version) C. R., Math., Acad. Sci. Paris 349, No. 11-12, 647-651 (2011). MSC2000: *35P25 35J05 35Q60, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

72. Zbl 1221.35110Gadyl'shin, R.R.: On regular and singular perturbations of the eigenelementsof the Laplacian. (English) Constanda, C. (ed.) et al., Integral methods inscience and engineering. Volume 1: Analytic methods. Papers presented at the10th international conference on integral methods in science and engineering(IMSE 2008), Santander, Spain, July 7�10, 2008. Basel: Birkhäuser. 135-148(2010). MSC2000: *35J05 35B20 35B25, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

73. Zbl 1220.78109Rozanova-Pierrat, A.: Perturbative numeric approach in microwave imaging.(English) Appl. Anal. 89, No. 12, 1855-1877 (2010). MSC2000: *78A70 31B2031A25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

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74. Zbl 1220.35011Lobo, M.; Pérez, M.E.: On di�erent quasimodes for the homogenization ofSteklov-type eigenvalue problems. (English) Constanda, C. (ed.) et al., Inte-gral methods in science and engineering. Volume 1: Analytic methods. Pa-pers presented at the 10th international conference on integral methods in sci-ence and engineering (IMSE 2008), Santander, Spain, July 7�10, 2008. Basel:Birkhäuser. 193-204 (2010). MSC2000: *35B27 34G10 35J25, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

75. Zbl 1205.78024Lechleiter, Armin; Ritterbusch, Sebastian: A variational method for wave scat-tering from penetrable rough layers. (English) IMA J. Appl. Math. 75, No.3, 366-391 (2010). MSC2000: *78A45 78M30 35P25, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

76. Zbl 1205.78025Pernet, Sébastien: A well-conditioned integral equation for iterative solution ofscattering problems with a variable Leontovitch boundary condition. (English)ESAIM, Math. Model. Numer. Anal. 44, No. 4, 781-801 (2010). MSC2000:*78A45 65R20 15A12, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

77. Zbl 1203.35272Kachmar, Ayman: Magnetic vortices for a Ginzburg-Landau type energy withdiscontinuous constraint. (English) ESAIM, Control Optim. Calc. Var. 16,No. 3, 545-580 (2010). MSC2000: *35Q56 35J60 35J20, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

78. BookZbl 1204.42002Corcho Fernandez, Adán J.; Cavalcante, Marcos Petrúcio de A.: Introduction toharmonic analysis and applications (in Portuguese). Publicações Matemáticasdo IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada(IMPA). 118 p. (2009). MSC2000: *42-01 42Axx, Reviewer: Luis Filipe Pin-heiro de Castro (Aveiro)

79. Zbl 1196.35238Albanese, Angela Ama; Popivanov, Petar; Zanghirati, Luisa: Prescribing Gevreysingularities for solutions of pseudodi�erential operators. (English) J. Math.Kyoto Univ. 49, No. 2, 287-306 (2009). MSC2000: *35S05 35D30 35A18,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

80. Zbl 1193.35023Gkikas, Konstantinos T.: Existence and nonexistence of energy solutions for lin-ear elliptic equations involving Hardy-type potentials. (English) Indiana Univ.Math. J. 58, No. 5, 2317-2346 (2009). MSC2000: *35J15 35A01 26D10, Re-viewer: Luis Filipe Pinheiro de Castro (Aveiro)

81. Zbl 1191.47090Kochubei, Anatoly N.: On a p-adic wave equation. (English. Russian original)Proc. Steklov Inst. Math. 265, 143-147 (2009); translation from Tr. Mat. Inst.Steklova 265, 154-158 (2009). MSC2000: *47S10 35S10 11S80, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

82. Zbl 1191.47044Novitskii, Igor M.: Integral representations of unbounded operators by in�nitelysmooth bi-Carleman kernels. (English) Int. J. Pure Appl. Math. 54, No.3, 359-374 (2009). MSC2000: *47B38 47G10 45P05, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

83. Zbl 1189.47080Curtain, Ruth F.; Opmeer, Mark R.: State space formulas for a solution of thesuboptimal Nehari problem on the unit disc. (English) Integral Equations Oper.Theory 64, No. 1, 35-59 (2009). MSC2000: *47N70 93C25 47B35, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

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84. BookZbl 1183.35001Ebert, Marcelo Rempel; dos Santos Filho, José Ruidival: The Cauchy problemfor partial di�erential operators (in Portuguese). Publicações Matemáticas doIMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada(IMPA). ii, 155 p. (2009). MSC2000: *35-02 35G05 35A10, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

85. Zbl 1180.78028Olshansky, Yaakov; Ramm, Alexander G.: Finding the position of a small bodyin the presence of a large body from scattering data. (English) Inverse Probl.Sci. Eng. 17, No. 5, 701-714 (2009). MSC2000: *78A46 81U40, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

86. Zbl 1180.47022Wang, Xiaofeng; Xia, Jin; Cao, Guangfu: Trace class Toeplitz operators onDirichlet space with unbounded symbols. (English) Indian J. Pure Appl. Math.40, No. 1, 21-28 (2009). MSC2000: *47B35 47B10, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

87. Zbl 1176.47006Sandovici, Adrian: On a Kre��n criterion. (English) Behrndt, Jussi (ed.) etal., Spectral theory in inner product spaces and applications. Papers of the6th workshop on operator theory in Krein spaces and operator polynomials,TU Berlin, Germany, December 14�17, 2006. Basel: Birkhäuser. OperatorTheory: Advances and Applications 188, 237-243 (2009). MSC2000: *47A0647A20 47B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

88. Zbl 1175.47042El-Gebeily, Mohamed; O'Regan, Donal: A characterization of self-adjoint oper-ators determined by the weak formulation of second-order singular di�erentialexpressions. (English) Glasg. Math. J. 51, No. 2, 385-404 (2009). MSC2000:*47E05 34B24 47B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

89. Zbl 1171.47023Lee, Young Joo: Finite sums of Toeplitz products on the Dirichlet space. (En-glish) J. Math. Anal. Appl. 357, No. 2, 504-515 (2009). MSC2000: *47B3532A36, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

90. Zbl 1169.47012Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem: A simple proof of thematrix-valued Fejér�Riesz theorem. (English) J. Fourier Anal. Appl. 15, No.1, 124-127 (2009). MSC2000: *47A68 15A23, Reviewer: Luis Filipe Pinheirode Castro (Aveiro)

91. Zbl 1169.47017Bauer, Wolfram: Berezin�Toeplitz quantization and composition formulas. (En-glish) J. Funct. Anal. 256, No. 10, 3107-3142 (2009). MSC2000: *47B35 42B3046L65, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

92. Zbl 1169.47013Shin, Chang Eon; Sun, Qiyu: Stability of localized operators. (English) J.Funct. Anal. 256, No. 8, 2417-2439 (2009). MSC2000: *47A99 47B37 47B48,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

93. Zbl 1151.47037Suciu, Laurian; Suciu, Nicolae: Asymptotic behaviours and generalized Toeplitzoperators. (English) J. Math. Anal. Appl. 349, No. 1, 280-290 (2009).MSC2000: *47B35 47A65 47A20, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

94. Zbl 1201.47031Karlovich, Yu.I.; Hernández, J.Loreto: Wiener-Hopf operators with semi-almostperiodic matrix symbols on weighted Lebesgue spaces. (English) Integral Equa-tions Oper. Theory 62, No. 1, 85-128 (2008). MSC2000: *47B35 42A75 47A53,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

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95. Zbl 1201.47032Papadimitrakis, M.; Virtanen, J.A.: Hankel and Toeplitz transforms on H1:continuity, compactness and Fredholm properties. (English) Integral EquationsOper. Theory 61, No. 4, 573-591 (2008). MSC2000: *47B35 30H10 47A53,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

96. Zbl 1172.47020Arora, S.C.; Bhola, Jyoti: Essentially slant Hankel operators. (English) Bull.Malays. Math. Sci. Soc. (2) 31, No. 2, 165-173 (2008). MSC2000: *47B3547A20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

97. Zbl 1168.47008Suciu, Laurian; Suciu, Nicolae: Ergodic conditions and spectral properties forA-contractions. (English) Opusc. Math. 28, No. 2, 195-216 (2008). MSC2000:*47A35 47A62 47A63, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

98. Zbl 1161.47022Stevic, Stevo: On Libera-type transforms on the unit disc, polydisc and the unitball. (English) Integral Transforms Spec. Funct. 19, No. 11, 785-799 (2008).MSC2000: *47B38 46E15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

99. Zbl 1161.47011Boche, Holger; Pohl, Volker: Continuity versus boundedness of the spectralfactorization mapping. (English) Stud. Math. 189, No. 2, 131-145 (2008).MSC2000: *47A68 30H05 46J10, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

100. Zbl 1158.47013Câmara, M. Cristina; Malheiro, M. Teresa: Meromorphic factorization revisitedand application to some groups of matrix functions. (English) Complex Anal.Oper. Theory 2, No. 2, 299-326 (2008). MSC2000: *47A68 47B35 15A2315A60, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

101. Zbl 1151.47036Harutyunyan, Anahit; Lusky, Wolfgang: Toeplitz operators on weighted spacesof holomorphic functions. (English) Math. Scand. 103, No. 1, 40-52 (2008).MSC2000: *47B35 30H05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

102. Zbl 1158.47031Catan , Viorel: M -hypoelliptic pseudo-di�erential operators on Lp(Rn). (En-glish) Appl. Anal. 87, No. 6, 657-666 (2008). MSC2000: *47G30 35S05 42A4547A10 47A20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

103. Zbl 1155.47033Sarason, Donald: Unbounded Toeplitz operators. (English) Integral EquationsOper. Theory 61, No. 2, 281-298 (2008). MSC2000: *47B35 30D50, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

104. Zbl 1147.47033Miana, Pedro J.: Algebra homomorphisms from cosine convolution algebras.(English) Isr. J. Math. 165, 253-280 (2008). MSC2000: *47D09 26A33 43A20,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

105. Zbl 1146.78002Duplij, Steven; Goldin, Gerald A.; Shtelen, Vladimir M.: Generalizations ofnonlinear and supersymmetric classical electrodynamics. (English) J. Phys. A,Math. Theor. 41, No. 30, Article ID 304007, 11 p. (2008). MSC2000: *78A2578A99 00A79, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

106. Zbl 1206.78016Germain, Pierre: Finite energy scattering for the Lorentz-Maxwell equation.(English) Ann. Henri Poincaré 9, No. 5, 927-943 (2008). MSC2000: *78A3578A25 78A45, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

107. Zbl 1155.47040Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.: Evolution equations

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with real time variable and complex spatial variables. (English) Complex Var.Elliptic Equ. 53, No. 8, 753-774 (2008). MSC2000: *47D03 47D06 47D60,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

108. Zbl 1144.42004Tarulli, Mirko; Wilson, J.Michael: On a Calderón-Zygmund commutator-typeestimate. (English) J. Math. Anal. Appl. 347, No. 2, 621-632 (2008). MSC2000:*42B20 42B15 42B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

109. Zbl 1154.47025Wu, Zhijian; Zhao, Ruhan; Zorboska, Nina: Toeplitz operators on analyticBesov spaces. (English) Integral Equations Oper. Theory 60, No. 3, 435-449(2008). MSC2000: *47B35 30H05 32A18, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

110. Zbl 1153.46027Vänskä, S.; Taskinen, M.: Domain dependent Dirac's delta and derivatives withan application to electromagnetic boundary integral representations. (English)J. Math. Anal. Appl. 344, No. 1, 546-556 (2008). MSC2000: *46F99 35J0578A25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

111. Zbl 1189.47026Das, Namita: Little Hankel operators and inner functions. (English) J. Int.Acad. Phys. Sci. 11, 31-39 (2007). MSC2000: *47B35 47A05 42B35, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

112. Zbl 1145.47034Gröchenig, Karlheinz; Strohmer, Thomas: Pseudodi�erential operators on lo-cally compact Abelian groups and Sjöstrand's symbol class. (English) J. ReineAngew. Math. 613, 121-146 (2007). MSC2000: *47G30 35S05 43A70, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

113. Zbl 1142.35089Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin: Semiclassical focusingnonlinear Schrödinger equation. I: Inverse scattering map and its evolution forradiative initial data. (English) Int. Math. Res. Not. 2007, No. 22, Article IDrnm094, 54 p. (2007). MSC2000: *35Q55 35P25 35Q15, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

114. Zbl 1141.47024Lacey, Michael T.: Lectures on Nehari's theorem on the polydisk. (English)Contemporary Mathematics 444, 185-213 (2007). MSC2000: *47B35 42B3542B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

115. Zbl 1141.47025Lo, Min-Lin: The Bargmann transform and windowed Fourier localization. (En-glish) Integral Equations Oper. Theory 57, No. 3, 397-412 (2007). MSC2000:*47B35 42C40 81R30, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

116. Zbl 1140.78006Hannay, J.H.: Radiative transfer: exact Rayleigh scattering series and a formulafor daylight. (English) Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463,No. 2086, 2729-2751 (2007). MSC2000: *78A45 85A25 85A99, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

117. Zbl 1136.78009Liondas, C.A.; Chrissoulidis, D.P.: On the singularity of Green's tensor for aperfectly conducting semi-in�nite cone. (English) Q. J. Mech. Appl. Math. 60,No. 3, 275-287 (2007). MSC2000: *78A45 35J05 78A25, Reviewer: Luis FilipePinheiro de Castro (Aveiro)

118. Zbl 1123.78002Athanasiadis, Christodoulos; Tsitsas, Nikolaos L.: Electromagnetic scatteringtheorems for interior dipole excitation of a layered obstacle. (English) Math.

29

Methods Appl. Sci. 30, No. 12, 1467-1482 (2007). MSC2000: *78A25 35P2578A40, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

119. Zbl 1123.78008Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.: Asymptotically precisenorm estimates of scattering from a small circular inhomogeneity. (English)Appl. Anal. 86, No. 4, 433-458 (2007). MSC2000: *78A45 35J05 78A25,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

120. Zbl 1122.47026Shargorodsky, Eugene: A remark on the essential spectra of Toeplitz opera-tors with bounded measurable coe�cients. (English) Integral Equations Oper.Theory 57, No. 1, 127-132 (2007). MSC2000: *47B35 47G10 45E05, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

121. Zbl 1120.47035Aksoy, Ü.; Çelebi, A.O.: Norm estimates of a class of Calderon�Zygmund typestrongly singular integral operators. (English) Integral Transforms Spec. Funct.18, No. 1-2, 87-93 (2007). MSC2000: *47G10 47B38 30G20, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

122. Zbl 1118.78007Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin: The mathematics ofscattering by unbounded, rough, inhomogeneous layers. (English) J. Comput.Appl. Math. 204, No. 2, 549-559 (2007). MSC2000: *78A45 35J20 35J05,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

123. Zbl 1111.78008Viskanta, R.; Tseng, C.C.: Spectral radiation characteristics of water sprays.(English) Combust. Theory Model. 11, No. 1, 113-125 (2007). MSC2000:*78A45, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

124. Zbl 1107.47033Cordero, Elena; Okoudjou, Kasso A.: Multilinear localization operators. (En-glish) J. Math. Anal. Appl. 325, No. 2, 1103-1116 (2007). MSC2000: *47G3047H60 35S05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

125. Zbl 1177.78023Gusev, V.G.: Spatial �ltering of the di�ractional �eld of a double-exposurehologram of a focused scatterer image. II. (English. Russian original) Russ.Phys. J. 50, No. 10, 1046-1055 (2007); translation from Izv. Vyssh. Uchebn.Zaved., Fiz. 50, No. 10, 78�85 (2007). MSC2000: *78A45, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

126. Zbl 1152.47009Spies, Ruben D.; Temperini, Karina G.: On the non convergence of the leastsquares method in the case of in�nite dimension (in Spanish), Maciel, M. C.(ed.) et al., 3rd conference on di�erential equations, optimization and numeri-cal analysis, Bahia Blanca, Argentina, March 9�10, 2006. Rosario: UniversidadAustral, Departamento de Matemática. MAT. Serie A: Conferencias, Semi-narios y Trabajos de Matemática 14, 31-34 (2007). MSC2000: *47A52 47A9965J20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

127. Zbl 1152.47034Dasgupta, Aparajita; Wong, M.W.: Weyl transforms and the inverse of thesub-Laplacian on the Heisenberg group. (English) Rodino, Luigi (ed.) et al.,Pseudo-di�erential operators. Partial di�erential equations and time-frequencyanalysis. Selected papers of the ISAAC workshop, Toronto, Canada, December11�15, 2006. Providence, RI: American Mathematical Society (AMS); Toronto:The Fields Institute for Research in Mathematical Sciences. Fields InstituteCommunications 52, 27-36 (2007). MSC2000: *47F05 35H20 47G30, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

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128. Zbl 1152.47035Sato, Shuichi: Non-regular pseudo-di�erential operators on the weighted Trie-bel-Lizorkin spaces. (English) Tohoku Math. J. (2) 59, No. 3, 323-339 (2007).MSC2000: *47G30 35S05 42B20, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

129. Zbl 1136.47032Prasad, Akhilesh: Pseudo-di�erential operator involving Hankel translation andHankel convolution on some Gevrey spaces. (English) J. Indian Math. Soc., NewSer. 73, No. 3-4, 153-165 (2006). MSC2000: *47G30 35S05 44A15, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

130. Zbl 1135.78016Zohdi, T.I.: Computation of the coupled thermo-optical scattering propertiesof random particulate systems. (English) Comput. Methods Appl. Mech. Eng.195, No. 41-43, 5813-5830 (2006); Erratum 196, No. 1-3, 716 (2006). MSC2000:*78M25 78A45 78A46, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

131. Zbl 1135.78012Darbas, Marion: Generalized combined �eld integral equations for the iterativesolution of the three-dimensional Maxwell equations. (English) Appl. Math.Lett. 19, No. 8, 834-839 (2006). MSC2000: *78M15 65R20 35C15, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

132. Zbl 1133.47054Chanzy, Jean: Inverse of the discrete Laplacian in the two-dimensional Poisson-Dirichlet problem on a rectangle. (Inverse du Laplacien discret dans le problèmede Poisson-Dirichlet à deux dimensions sur un rectangle.) (French) Ann. Fac.Sci. Toulouse, Math. (6) 15, No. 3, 485-552 (2006). MSC2000: *47N20 47B3535C10, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

133. Zbl 1124.47030Rabinovich, Vladimir S.; Roch, Ste�en: The Fredholm property of pseudodif-ferential operators with non-smooth symbols on modulation spaces. (English)Operator Theory: Advances and Applications 171, 259-280 (2006). MSC2000:*47G30 35S05 47A53, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

134. Zbl 1124.42012Chen, Jiecheng; Ding, Yong; Fan, Dashan: Littlewood-Paley operators withvariable kernels. (English) Sci. China, Ser. A 49, No. 5, 639-650 (2006).MSC2000: *42B25 42B20 44A15, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

135. Zbl 1118.47019Lin, Yan; Lu, Shanzhen: Toeplitz operators related to strongly singular Cal-derón�Zygmund operators. (English) Sci. China, Ser. A 49, No. 8, 1048-1064(2006). MSC2000: *47B35 42B20 47G10, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

136. Zbl 1118.47017Cao, Guangfu: Toeplitz operators on connected domains. (English) Sci. China,Ser. A 49, No. 6, 827-837 (2006). MSC2000: *47B35 47A53 47L80, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

137. Zbl 1110.46025Yang, Shanshuang: A Sobolev extension domain that is not uniform. (En-glish) Manuscr. Math. 120, No. 2, 241-251 (2006). MSC2000: *46E35 30C65,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

138. Zbl 1110.46019Chua, Seng-Kee: Extension theorems on weighted Sobolev spaces and someapplications. (English) Can. J. Math. 58, No. 3, 492-528 (2006). MSC2000:*46E35, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

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139. Zbl 1102.47038Wong, M.W.: M -elliptic pseudo-di�erential operators on Lp(Rn). (English)Math. Nachr. 279, No. 3, 319-326 (2006). MSC2000: *47G30 35S05 42A45,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

140. Zbl 1101.47015Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E.: On the asymptotic behaviorof the eigenvectors of large banded Toeplitz matrices. (English) Math. Nachr.279, No. 1-2, 121-129 (2006). MSC2000: *47B35 15A18 47N40, Reviewer: LuisFilipe Pinheiro de Castro (Aveiro)

141. BookZbl 1099.78008Cakoni, Fioralba; Colton, David: Qualitative methods in inverse scatteringtheory. An introduction. (English) Interaction of Mechanics and Mathematics.Berlin: Springer. viii, 227 p. (2006). MSC2000: *78A46 35R30 35-01, Reviewer:Luis Filipe Pinheiro de Castro (Aveiro)

142. Zbl pre05030853Shakhmurov, Veli B.: Maximal B-regular boundary value problems with pa-rameters. (English) J. Math. Anal. Appl. 320, No. 1, 1-19 (2006). MSC2000:*35J40 34G10 35J70, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

143. Zbl 1146.35031Mikhailov, Sergey E.: Analysis of united boundary-domain integro-di�erentialand integral equations for a mixed BVP with variable coe�cient. (English)Math. Methods Appl. Sci. 29, No. 6, 715-739 (2006). MSC2000: *35J25 47G2047G10, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

144. Zbl 1124.35086Starynkévitch, Jean: Local energy estimates for the Maxwell-Landau-Lifshitzsystem and applications. (English) J. Hyperbolic Di�er. Equ. 2, No. 3, 565-594 (2005). MSC2000: *35Q60 78A25 35B45, Reviewer: Luis Filipe Pinheirode Castro (Aveiro)

145. Zbl 1106.78007Delitsyn, A.L.: A di�raction problem for electromagnetic �eld in free space.(English. Russian original) Di�er. Equ. 41, No. 7, 923-931 (2005); translationfrom Di�er. Uravn. 41, No. 7, 881-888 (2005). MSC2000: *78A45 35Q60,Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

146. Zbl 1104.65126Khapaev, M.M.jun.: Numerical solution of an integro-di�erential equation fora sheet current. (English. Russian original) Di�er. Equ. 41, No. 7, 1019-1024(2005); translation from Di�er. Uravn. 41, No. 7, 970-974 (2005). MSC2000:*65R20 78A25 78M15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

147. Zbl 1099.47026Basor, Estelle L.; Ehrhardt, Torsten: On the asymptotics of certain Wiener�Hopf-plus-Hankel determinants. (English) New York J. Math. 11, 171-203(2005). MSC2000: *47B35 47G10 15A15, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

148. Zbl 1094.47039Böttcher, Albrecht; Otte, Peter: The �rst Szegö limit theorem for non-selfad-joint operators in the Følner algebra. (English) Math. Scand. 97, No. 1, 115-126 (2005). MSC2000: *47C15 46H35 47L80, Reviewer: Luis Filipe Pinheirode Castro (Aveiro)

149. Zbl 1092.47041Johnsen, Jon: Domains of pseudo-di�erential operators: a case for the Triebel-Lizorkin spaces. (English) J. Funct. Spaces Appl. 3, No. 3, 263-286 (2005).MSC2000: *47G30 46E35, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

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150. Zbl 1088.78001Delitsyn, A.L.: A di�raction problem in a waveguide. (English) Di�er. Equ.41, No. 3, 393-400 (2005); translation from Di�er. Uravn. 41, No. 3, 375-381(2005). MSC2000: *78A45 78A40, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

151. Zbl 1084.35102Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh: Generalized impedanceboundary conditions for scattering by strongly absorbing obstacles: the scalarcase. (English) Math. Models Methods Appl. Sci. 15, No. 8, 1273-1300 (2005).MSC2000: *35Q60 35J25 78A45, Reviewer: Luis Filipe Pinheiro de Castro(Aveiro)

152. Zbl 1083.47022Bonami, Aline; Luo, Luo: On Hankel operators between Bergman spaces on theunit ball. (English) Houston J. Math. 31, No. 3, 815-828 (2005). MSC2000:*47B35 32A36, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

153. Zbl 1126.78009Kriegsmann, G.A.: Complete transmission through a two-dimensional di�rac-tion grating. (English) SIAM J. Appl. Math. 65, No. 1, 24-42 (2004). MSC2000:*78A45 78M35 35J25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

154. Zbl 1088.78006Van, Tri; Wood, Aihua: Finite element analysis of transient electromagneticscattering from 2D cavities. (English) Methods Appl. Anal. 11, No. 2, 221-236(2004). MSC2000: *78M10 78A45 65M12, Reviewer: Luis Filipe Pinheiro deCastro (Aveiro)

155. Zbl 1106.78302Arrieta de Uzcátegui, Xiomara; Kalla, Shyam L.: Generalization of analyticresults associated with the radiation of a rectangular plate. (Spanish. Englishsummary) Sci., Ser. A, Math. Sci. (N.S.) 4, 5-14 (1991). MSC2000: *78A4033C45 33C65, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)

[2007]�present Reviewer for MathSciNet - Mathematical Reviewers (AMS).Cf. http://www.ams.org/mathscinet/ and the entries::

1. MR3194063Defant, Andreas; Mastylo, Mieczyslaw: Factorization and extension of positivehomogeneous polynomials. Studia Math. 221 (2014), no. 1, 87�100. 47H60(46B42; 46G25)

2. MR3158777Challa, Durga Prasad; Sini, Mourad: On the justi�cation of the Foldy-Laxapproximation for the acoustic scattering by small rigid bodies of arbitraryshapes. Multiscale Model. Simul. 12 (2014),

3. MR3155447Özdemir, Ismet: On monotonicity of the solutions of the linear Volterra integralequations with convolution kernel, Adv. Math. Sci. Appl. 23 (2013), no. 1,109�131. ISBN: 978-4-7625-0665-9 45D05

4. MR3161610Abbas, Saïd and Benchohra, Mou�ak: Existence and stability of nonlinear, frac-tional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations,J. Integral Equations Appl. 25 (2013), no. 2, 143�158.

5. MR3146556Lei, Yutian and Ma, Chao: Optimal integrability of some system of integralequations, Front. Math. China 9 (2014), no. 1, 81�91.

33

6. MR3098552Grachev, N. V.; Maz'ya, V. G.: Solvability of a boundary integral equation ona polyhedron, J. Math. Sci. (N. Y.) 191 (2013), no. 2, 193�213. 45E05 (35J25)

7. MR3092599Pawliuk, Peter; Yedlin, Matthew: Multiple scattering between cylinders in twodielectric half-spaces. IEEE Trans. Antennas and Propagation 61 (2013), no.8, 4220�4228. 78A45

8. MR3115094Mennouni, Abdelaziz: The iterated projection method for integro-di�erentialequations with Cauchy kernel. J. Appl. Math. Inform. 31 (2013), no. 5-6,661�667. 45J05 (45E05)

9. MR3111868Matsunaga, Hideaki; Murakami, Satoru; Nagabuchi, YutakaFormal adjoint operators and asymptotic formula for solutions of autonomouslinear integral equations. J. Math. Anal. Appl. 410 (2014), no. 2, 807�826.45A05 (47A05)

10. MR3108482Afonso, S. M.; Rontó, A., Measure functional di�erential equations in the spaceof functions of bounded variation. Abstr. Appl. Anal. 2013, Art. ID 582161, 8pp. 45N05 (26A45, 34K05, 45G10)

11. MR3089217Usami, Hiroyuki; Yoshimi, Takuro, The existence of solutions of integral equa-tions related to inverse problems of quasilinear ordinary di�erential equations.Mem. Di�erential Equations Math. Phys. 57 (2012), 163�176. 45G05 (34A55)

12. MR3076272Christiansen, T. J., Inverse obstacle problems with backscattering or generalizedbackscattering data in one or two directions. Asymptot. Anal. 81 (2013), no.3-4, 315�335. 78A46 (35J05 35P25 35Q60 35R30 78A25)

13. MR3049428Qiao, Xing; Ma, Dan; Zheng, Fu; Zhu, Guangtian, The well-posedness andstability analysis of a computer series system. J. Appl. Math. 2013, Article ID131076, 9 p. (2013).

14. MR3031850Zeng, Fang; Suarez, Pablo; Sun, Jiguang, A decomposition method for an in-terior inverse scattering problem. Inverse Probl. Imaging 7 (2013), no. 1,291�303. 45Q05 (31A10 65R32 76Q05)

15. MR3028557Kamotski, I. V.; Maz'ya, V. G., On the linear water wave problem in thepresence of a critically submerged body. SIAM J. Math. Anal. 44 (2012), no.6, 4222�4249. 35J05 (35C20 35J25 35P25 76B15)

16. MR2988005Fritzsche, Bernd; Kirstein, Bernd; Mädler, Conrad, On matrix-valued Herglotz-Nevanlinna functions with an emphasis on particular subclasses. Math. Nachr.285 (2012), no. 14-15, 1770�1790. 30E05; 44A60; 47A57.

17. MR2985050Vasundhara Devi, J.; Sreedhar, Ch. V., Euler solutions for integro di�erentialequations with retardation and anticipation. Nonlinear Dyn. Syst. Theory 12(2012), no. 3, 237�250. 45J05; 45L05; 47G20.

18. MR2903819Ke, Tran Dinh; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, Onsemilinear integro-di�erential equations with nonlocal conditions in Banachspaces. Abstr. Appl. Anal. 2012, Art. ID 137576, 26 pp. 45J05; 34A12;34B10; 34G20; 34K30; 47H15; 47N20

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19. MR2888341Shipman, Stephen P.; Tu, Hairui, Total resonant transmission and re�ection byperiodic structures. SIAM J. Appl. Math. 72 (2012), no. 1, 216�239. 35Q60,35J05 35P25, 78A50.

20. MR2903270Jung, Soon-Mo, Approximation of analytic functions by special functions. Ann.Funct. Anal. 3 (2012), no. 1, 92�99. 34A12 (26D10 34A40 39B82)

21. MR2891800Zhang, Zhengce, Nonexistence of positive solutions of an integral system withweights, Adv. Di�erence Equ. 2011, 2011:61, 10 pp.

22. MR2888292Kalvin, Victor, Limiting absorption principle and perfectly matched layer methodfor Dirichlet Laplacians in quasi-cylindrical domains, SIAM J. Math. Anal. 44(2012), no. 1, 355�382

23. MR2888293Bao, Gang, Yun, KiHyun and Zhou, Zhengfang, Stability of the scattering froma large electromagnetic cavity in two dimensions, SIAM J. Math. Anal. 44(2012), no. 1, 383�404

24. MR2861382Yao, Wanghe, Chen, Xiaoli and Yang, Jianfu, Regularity and symmetry of pos-itive solutions to nonlinear integral systems, Electron. J. Di�erential Equations2011, No. 161, 21 pp.

25. MR2854835Boggiatto, Paolo; Fernández, Carmen; Galbis, Antonio: Supports of represen-tations in the Cohen class. J. Fourier Anal. Appl. 17 (2011), no. 6, 1180�1197.47G30 (35H10 35S05 42B10 44A35)

26. MR2834411Kadem, Abdelouahab; Baleanu, Dumitru: Two-dimensional transport equationas Fredholm integral equation, Commun. Nonlinear Sci. Numer. Simul. 17(2012), no. 2, 530�535.45K05; 34K17; 35A22, 35F15; 35P25; 44A10; 45B05; 82D75

27. MR2790742Chandler-Wilde, Simon N.; Lindner, Marko: Limit Operators, Collective Com-pactness, and the Spectral Theory of In�nite Matrices, Mem. Amer. Math.Soc. 210 (2011), no. 989, viii+111 pp. ISBN: 978-0-8218-5243-9 47A53

28. MR2844124Eshaghi Gordji, M.; Baghani, H.; Baghani, O. On existence and uniquenessof solutions of a nonlinear integral equation. J. Appl. Math. 2011, Art. ID743923, 7 pp.

29. MR2813432Agarwal, Ravi P. et al., Solvability of a quadratic Hammerstein integral equationin the class of functions having limits at in�nity. J. Integral Equations Appl.23 (2011), no. 2

30. MR2776537Zhao, Zhi-Han; Chang, Yong-Kui; N'Guérékata, G. M.: Pseudo-almost au-tomorphic mild solutions to semilinear integral equations in a Banach space.Nonlinear Anal. 74 (2011), no. 8, 2887�2894. (Reviewer: Luís P. Castro),45N05 (42A75 42A85 44A35)

31. MR2754828 (2012a:47068)Moura Santos, A.; Bernardino, N. J.. Image normalization of Wiener-Hopfoperators and boundary-transmission value problems for a junction of two half-planes. J. Math. Anal. Appl. 377 (2011), no. 1, 274�285. (Reviewer: Luís P.Castro), 47B35 (35J05 45E10 47F05 47N20 78A45)

35

32. MR2746534 (2012a:45015)Lei, Yutian; Ma, Chao: Asymptotic behavior for solutions of some integralequations. Commun. Pure Appl. Anal. 10 (2011), no. 1, 193�207. (Reviewer:Luís P. Castro), 45G05 (45E10 45M05 45M20)

33. MR2740590 (2012a:47062)Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.: Onthe singular values and eigenvalues of the Fox-Li and related operators. NewYork J. Math. 16 (2010), 539�561. (Reviewer: Luís P. Castro), 47B35 (45C0547B06 47G10 65R20 78A60)

34. MR2729412 (2011k:53106)Krishnan, Venkateswaran P.: On the inversion formulas of Pestov and Uhlmannfor the geodesic ray transform. J. Inverse Ill-Posed Probl. 18 (2010), no. 4,401�408. (Reviewer: Luís P. Castro), 53C65 (44A12 45P05 45Q05 53C22)

35. MR2728561 (2011j:45002)Burton, T. A. A Liapunov functional for a singular integral equation. Nonlin-ear Anal. 73 (2010), no. 12, 3873�3882. (Reviewer: Luís P. Castro), 45D05(45M10)

36. MR2730536 (2011h:45010)Zhong, Shouguo: Singular integral equations on the real axis with solutionshaving singularities of higher order. Acta Math. Sci. Ser. B Engl. Ed. 30(2010), no. 4, 1093�1099. (Reviewer: Luís P. Castro), 45E05

37. MR2721159 (2011h:78013)Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.: Scattering of a plane electro-magnetic wave by a hollow circular cone with thin semi-transparent walls. IMAJ. Appl. Math. 75 (2010), no. 5, 676�719. (Reviewer: Luís P. Castro), 78A45(35P25 35Q60 78A25)

38. MR2679435 (2011h:94005)Gruber, Fred K.; Marengo, Edwin A.: Reinterpretation and enhancement ofsignal-subspace-based imaging methods for extended scatterers. SIAM J. Imag-ing Sci. 3 (2010), no. 3, 434�461. (Reviewer: Luís P. Castro), 94A08 (45Q0565F22 78A46 94A12)

39. MR2644177 (2011g:78012)Steinho�, J. S.; Chitta, S.: Long distance wave computation using nonlinearsolitary waves. J. Comput. Appl. Math. 234 (2010), no. 6, 1826�1833.(Reviewer: Luís P. Castro), 78A45 (35C07)

40. MR2663529 (2011d:30121)Ephremidze, L.; Lagvilava, E.: Remark on outer analytic matrix-functions.Proc. A. Razmadze Math. Inst. 152 (2010), 29�32. (Reviewer: Luís P. Castro),30H10 (47A68)

41. MR2593195 (2011b:35357)DeSanto, J. A.: Exact boundary integral equations for scattering of scalar wavesfrom in�nite rough interfaces. Wave Motion 47 (2010), no. 3, 139�145. (Re-viewer: Luís P. Castro), 35P25 (35A08 78A45 78A48)

42. MR2592781 (2011b:45021)Bourgeois, Laurent; Haddar, Houssem: Identi�cation of generalized impedanceboundary conditions in inverse scattering problems. Inverse Probl. Imaging 4(2010), no. 1, 19�38. (Reviewer: Luís P. Castro), 45P05 (35R30 45A05 78A46)

43. MR2766077 (2012c:35080)Kresin, Gershon: Multidimensional harmonic functions analogues of sharp real-part theorems in complex function theory. Analysis, partial di�erential equa-tions and applications, 115�128, Oper. Theory Adv. Appl., 193, BirkhäuserVerlag, Basel, 2009. (Reviewer: Luís P. Castro), 35J05 (35B45 35B65)

44. MR2558705 (2011b:78015)Cimatti, Giovanni: Application of the Abel integral equation to an inverseproblem in thermoelectricity. European J. Appl. Math. 20 (2009), no. 6,519�529. (Reviewer: Luís P. Castro), 78A55 (45E10 45Q05 80A23)

36

45. MR2498147 (2010m:35348)Martin, P. A.: Multiple scattering by multiple scatterers. Mathematical meth-ods for imaging and inverse problems, 180�206, ESAIM Proc., 26, EDP Sci.,Les Ulis, 2009. (Reviewer: Luís P. Castro), 35P25 (35J05 60K40 76Q05 78A45)

46. MR2555473 (2010j:35362)Claeys, Xavier: On the theoretical justi�cation of Pocklington's equation. Math.Models Methods Appl. Sci. 19 (2009), no. 8, 1325�1355. (Reviewer: Luís P.Castro), 35P25 (33C15 35C20 35J05 76Q05 78A45)

47. MR2554329 (2010m:35349)Tatarskii, Valerian I.: Equations for the description of wave scattering by multi-valued random surfaces. Waves Random Complex Media 19 (2009), no. 3,480�500. (Reviewer: Luís P. Castro), 35P25 (35R60 76Q05 78A45 82D30)

48. MR2536457 (2010g:35042)Krynkin, A.; McIver, P.: Approximations to wave propagation through a latticeof Dirichlet scatterers. Waves Random Complex Media 19 (2009), no. 2, 347�365. (Reviewer: Luís P. Castro), 35J05 (35C20 35P25)

49. MR2532513 (2010g:47057)Barceló, J. A.; Folch-Gabayet, M.; Pérez-Esteva, S.; Ruiz, A.: Toeplitz oper-ators on Herglotz wave functions. J. Math. Anal. Appl. 358 (2009), no. 2,364�379. (Reviewer: Luís P. Castro), 47B35 (35J05 46E22 47B32)

50. MR2519520 (2010d:78017)Liu, Juan; Ma, Fu-ming: A PML method for electromagnetic scattering fromtwo-dimensional over�lled cavities. Commun. Math. Res. 25 (2009), no. 1,53�68. (Reviewer: Luís P. Castro), 78A45 (35Q60 78A25 78M25)

51. MR2501165 (2010h:35285)Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner,Marko: Condition number estimates for combined potential boundary integraloperators in acoustic scattering. J. Integral Equations Appl. 21 (2009), no.2, 229�279. (Reviewer: Luís P. Castro), 35P25 (31B15 35J05 47G10 65N9976Q05)

52. MR2507930 (2010c:35143)Lee, Doo-Sung: Scattering of an incident acoustic wave by an in�nite elasticcylinder in a shallow sea. Math. Methods Appl. Sci. 32 (2009), no. 7, 757�772.(Reviewer: Luís P. Castro), 35P25 (35J05 76Q05)

53. MR2569608 (2010m:78016)Hench, John J.; Strako², Zdenek: The RCWA method�a case study with openquestions and perspectives of algebraic computations. Electron. Trans. Numer.Anal. 31 (2008), 331�357. (Reviewer: Luís P. Castro), 78A45 (35Q61 42A2042A85 65M99 78M25)

54. MR2488788 (2009m:47123)Samko, N.: Fredholmness of singular integral operators in weighted Morreyspaces. Proc. A. Razmadze Math. Inst. 148 (2008), 51�68. (Reviewer: Luís P.Castro), 47G10 (30E20 45E05 47A53 76G25)

55. MR2465540 (2009m:47122)Krupnik, Naum; Spitkovsky, Ilya M.: On the norms of singular integral oper-ators on contours with intersections. Complex Anal. Oper. Theory 2 (2008),no. 4, 617�626. (Reviewer: Luís P. Castro), 47G10 (30E20 47A30)

56. MR2464043 (2009m:47116)Karapetyan, G. A.; Darbinyan, A. A.: The Noether property of a regular op-erator with constant coe�cients in a region. Proc. A. Razmadze Math. Inst.146 (2008), 57�66. (Reviewer: Luís P. Castro), 47F05 (47A53)

57. MR2454569 (2009k:35219)Martin, P. A.; Maurel, A.: Multiple scattering by random con�gurations ofcircular cylinders: weak scattering without closure assumptions. Wave Motion45 (2008), no. 7-8, 865�880. (Reviewer: Luís P. Castro), 35P25 (35J05 74J2076Q05 78A45)

37

58. MR2447918 (2009g:35031)Speck, Frank-Olme; Stephan, Ernst Peter: Boundary value problems for theHelmholtz equation in an octant. Integral Equations Operator Theory 62(2008), no. 2, 269�300. (Reviewer: Luís P. Castro), 35J05 (35J25 45E10 47B3547F05)

59. MR2434050 (2009d:78011)Osipov, Andrey V.; Senior, Thomas B. A.: Electromagnetic di�raction byarbitrary-angle impedance wedges. Proc. R. Soc. Lond. Ser. A Math. Phys.Eng. Sci. 464 (2008), no. 2089, 177�195. (Reviewer: Luís P. Castro), 78A45(78A25 78A40)

60. MR2428468 (2009d:47018)Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem: An analytic proof ofthe matrix spectral factorization theorem. Georgian Math. J. 15 (2008), no. 2,241�249. (Reviewer: Luís P. Castro), 47A68 (15A23 30E20)

61. MR2420728 (2009c:47014)Lindner, Marko: Fredholmness and index of operators in the Wiener algebra areindependent of the underlying space. Oper. Matrices 2 (2008), no. 2, 297�306.(Reviewer: Luís P. Castro), 47A53 (46E40 47B36 47B37 47L10)

62. MR2394519 (2009b:45006)Jahantigh, M.; Allahviranloo, T.; Otadi, M. Numerical solution of fuzzy integralequations. Appl. Math. Sci. (Ruse) 2 (2008), no. 1-4, 33�46. (Reviewer: LuísP. Castro), 45B05 (12Y05 26E50)

63. MR2396954 (2009b:47081)Chandler-Wilde, Simon N.; Lindner, Marko: Boundary integral equations onunbounded rough surfaces: Fredholmness and the �nite section method. J.Integral Equations Appl. 20 (2008), no. 1, 13�48. (Reviewer: Luís P. Castro),47G10 (35J25 45B05 46N40 47A53)

64. MR2386419 (2009i:35063)Bastos, M. A.; Lopes, P. A.; Moura Santos, A.: The two straight line approachfor periodic di�raction boundary-value problems. J. Math. Anal. Appl. 338(2008), no. 1, 330�349. (Reviewer: Luís P. Castro), 35J25 (35J05 35P05 45E1047A53 47A68 47B35 78A46)

65. MR2387370 (2008k:78022)Tamura, Y.; Nakayama, J.: Scalar plane wave scattering from a thin �lm withtwo-dimensional �uctuation. Waves Random Complex Media 18 (2008), no. 1,27�52. (Reviewer: Luís P. Castro), 78A45 (60K40 78A40)

66. MR2377284 (2008k:35071)Chandler-Wilde, Simon N.; Monk, Peter: Wave-number-explicit bounds intime-harmonic scattering. SIAM J. Math. Anal. 39 (2008), no. 5, 1428�1455.(Reviewer: Luís P. Castro), 35J05 (35P25 42B10 76Q05 78A45)

67. MR2441017 (2009i:35227)Bal, Guillaume; Carin, Lawrence; Liu, Dehong; Ren, Kui: Experimental vali-dation of a transport-based imaging method in highly scattering environments.Inverse Problems 23 (2007), no. 6, 2527-2539. (Reviewer: Luís P. Castro),35P25 (35J05 35R30 35R60 76Q05 78A40 78A45 82D30)

68. MR2438155 (2009f:35042)McIver, P.: Approximations to wave propagation through doubly-periodic ar-rays of scatterers. Waves Random Complex Media 17 (2007), no. 4, 439-453.(Reviewer: Luís P. Castro), 35J05 (35P25 78A45)

69. MR2402854Bahayou, M. A.: Sur le problème de Helmholtz. (French) [On the Helmholtzproblem] Rend. Semin. Mat. Univ. Politec. Torino 65 (2007), no. 4, 427�449.(Reviewer: Luís P. Castro) 35J05 (47A53 47G30 78A40 78A45)

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70. MR2372083Antipov, Y. A.; Silvestrov, V. V.: Method of integral equations for systems ofdi�erence equations in di�raction theory. IMA J. Appl. Math. 72 (2007), no. 6,681�705. (Reviewer: Luís P. Castro) 78A45 (30E25 35J05 39A05 45A05 45E10)

71. MR2356368 (2008j:78011)Schädle, Achim; Zschiedrich, Lin; Burger, Sven; Klose, Roland; Schmidt, Frank:Domain decomposition method for Maxwell's equations: scattering o� periodicstructures. J. Comput. Phys. 226 (2007), no. 1, 477�493. (Reviewer: Luís P.Castro) 78A45 (65N30 65N55 78M10)

72. MR2334665 (2008f:47075)Karlovich, Yu. I.: Pseudodi�erential operators with compound non-regularsymbols. Math. Nachr. 280 (2007), no. 9-10, 1128�1144. (Reviewer: Luís P.Castro) 47G30 (35S05 47A53 47G10)

73. MR2316833 (2008f:35273)Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.: Asymptotically precisenorm estimates of scattering from a small circular inhomogeneity. Appl. Anal.86 (2007), no. 4, 433�458. (Reviewer: Luís P. Castro) 35P25 (35J05 35R3074J25 76Q05 78A45)

74. MR2304472 (2008f:47046)Ehrhardt, Torsten: Dyson's constants in the asymptotics of the determinantsof Wiener-Hopf-Hankel operators with the sine kernel. Comm. Math. Phys. 272(2007), no. 3, 683�698. (Reviewer: Luís P. Castro) 47B35 (15A15 15A52 47G1082B05 82B44)

75. MR2313007 (2008c:35217)Athanasiadis, Christodoulos; Tsitsas, Nikolaos L.: Scattering theorems foracoustic excitation of a layered obstacle by an interior point source. Stud.Appl. Math. 118 (2007), no. 4, 397�418. (Reviewer: Luís P. Castro) 35P25

76. MR2309661 (2008d:78016)Cakoni, Fioralba; Colton, David; Monk, Peter: On the use of transmissioneigenvalues to estimate the index of refraction from far �eld data. InverseProblems 23 (2007), no. 2, 507�522. (Reviewer: Luís P. Castro) 78A46 (35J0535P25 35R30 78A45)

77. MR2294279 (2007m:47065)Widom, Harold: On the inverse and determinant of certain truncated Wiener-Hopf operators. Integral Equations Operator Theory 57 (2007), no. 1, 133�151.(Reviewer: Luís P. Castro) 47B35 (47A68 47G10)

78. MR2290349 (2007m:42010)Criado-Aldeanueva, F.; Criado, F.; Odishelidze, N.: One non-local problem forthe Laplace equation in a disc. Integral Transforms Spec. Funct. 18 (2007),no. 1-2, 109�116. (Reviewer: Luís P. Castro) 42A85 (35J05 35J25 45E10)

79. MR2284234 (2007m:35181)Bernard, J. M. L.: A spectral approach for scattering by impedance polygons.Quart. J. Mech. Appl. Math. 59 (2006), no. 4, 517�550. (Reviewer: Luís P.Castro) 35P25 (35J05 45B05 78A45)

80. MR2262716 (2007g:47074)Aibeche, Aissa: Fredholm property for a parameter dependent second orderoperator di�erential equation. Appl. Math. E-Notes 6 (2006), 283�288 (elec-tronic). (Reviewer: Luís P. Castro) 47F05 (34B07 34G10 35J05 35P05 47A53)

39

Participation in Units and Research Projects

Luís Castro took part in several projects and research units. We list below those in which he had the�nancial responsibility:

[2006] 129.600,00 Euros funded by FCT (Portuguese Foundation for Science and Technol-ogy) to UI&D Matemática e Aplicações, 2006.

[2007] 139.725,00 Euros funded by FCT (Portuguese Foundation for Science and Technol-ogy) to UI&D Matemática e Aplicações, 2007.

[2008] 151.875,00 Euros funded by FCT (Portuguese Foundation for Science and Technol-ogy) to UI&D Matemática e Aplicações, 2008.

[2009] 173.250,00 Euros funded by FCT (Portuguese Foundation for Science and Technol-ogy) to UI&D Matemática e Aplicações, 2009.

[2010] 286.687,50 Euros funded by FCT (Portuguese Foundation for Science and Tech-nology) to CIDMA � Centro de Investigação e Desenvolvimento em Matemática eAplicações, 2010.

[2011] 311.211,00 Euros funded by FCT (Portuguese Foundation for Science and Tech-nology) to CIDMA � Centro de Investigação e Desenvolvimento em Matemática eAplicações, 2011.

[2012] 311.211,00 Euros funded by FCT (Portuguese Foundation for Science and Tech-nology) to CIDMA � Centro de Investigação e Desenvolvimento em Matemática eAplicações, 2012.

[2013] 181.726,00 Euros funded by FCT (Portuguese Foundation for Science and Tech-nology) to CIDMA � Centro de Investigação e Desenvolvimento em Matemática eAplicações, 2013.

[2014] 194.279,00 Euros funded by FCT (Portuguese Foundation for Science and Tech-nology) to CIDMA � Centro de Investigação e Desenvolvimento em Matemática eAplicações, 2014. Project number �PEst-OE/MAT/UI4106/2014�.

Mathematical Association Memberships

[1998�present] Portuguese Society of Mathematics (member no 4027).

[1999�present] European Mathematical Society.

[1999�present] American Mathematical Society (member CSLSPA).

40