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Hindawi Publishing CorporationJournal of Function Spaces and ApplicationsVolume 2013, Article ID 407425, 1 pagehttp://dx.doi.org/10.1155/2013/407425

EditorialSome Recent Developments in Applied Functional Analysis

Manuel Ruiz Galán,1 María Isabel Berenguer,1 Gabriel N. Gatica,2 and Davide La Torre3

1 Departamento de Matematica Aplicada, E.T.S. Ingenierıa de Edificacion, Universidad de Granada, 18071 Granada, Spain2Departamento de Ingenierıa Matematica, Universidad de Concepcion, Casilla 160-C, Concepcion, Chile3 Department of Economics, Business and Statistics, University of Milan, 20122 Milan, Italy

Correspondence should be addressed to Manuel Ruiz Galan; [email protected]

Received 21 February 2013; Accepted 21 February 2013

Copyright © 2013 Manuel Ruiz Galan et al. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.

From its early stages, the intensive development of functionalanalysis and the remarkable advances of its methods cannotbe explained without its link with other areas of mathematicsand, above all, its role as an essential framework for numericalanalysis and computer simulation, PDEs, modeling real-world phenomena, variational inequalities, or optimization,just to name a few.

In this special issue we highlight some aspects of func-tional analysis which are used in connection with otherbranches of mathematics or science, either as a direct appli-cation or as a theoretical result which is essential for such anapplication.

Although it is not possible to collect here the hugeproduction of the research activity on this vast field ofmodern mathematics, the selected works gather together arange of topics which reflect some of the current research onapplied functional analysis: bases in Banach spaces, wavelettransforms, fixed point theory, and applications to ODEs,electronic circuit simulation, or numerical solution of PDEs,integral equations, or problems on option pricing in math-ematical finance. In this way, we have achieved one of ourpurposes, which is the exchange of ideas among researchersworking both in abstract and applied functional analysis.

Acknowledgments

We would like to express our sincere thanks to the authorsfor contributing to this issue, as well as to the anonymousreviewers for their generous and accurate refereeing processand their valuable comments and suggestions. Without their

evident support this special issue would not have come out.We want also acknowledge with gratitude the assistance andhelp provided by the editorial board members of this Journalduring the preparation of this special issue.

Manuel Ruiz GalanMarıa Isabel Berenguer

Gabriel N. GaticaDavide La Torre

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