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A non-linear approach to signal processing bymeans of vector measure orthogonal functions

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A non-linear approach to signal processing bymeans of vector measure orthogonal functions

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dc.contributor.author García-Raffi, L. M. es_ES
dc.contributor.author Jiménez Fernández, Eduardo es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-06-01T09:48:21Z
dc.date.available 2015-06-01T09:48:21Z
dc.date.issued 2013-06
dc.identifier.issn 0034-5318
dc.identifier.uri http://hdl.handle.net/10251/51033
dc.description.abstract [EN] Sequences of real functions that are orthogonal with respect to a vector measure are a natural generalization of the orthogonal systems with respect to a parametric measure. In this paper we develop a new procedure to construct non linear approximations of functions by de fining orthogonal series in spaces of square integrable functions with respect to a vector measure which Fourier coeffi cients are also functions. We study the convergence properties of these series, defi ning a convenient approximation structure for signal processing involving time dependence of the measure. Some examples regarding classical orthogonal polynomials are given. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia e Innovacion, under project #MTM2009-14483-C02-02 (Spain).
dc.language Inglés es_ES
dc.publisher European Mathematical Society es_ES
dc.relation.ispartof Publications of the Research Institute for Mathematical Sciences es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Signal processing es_ES
dc.subject Vector measures es_ES
dc.subject Integration es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A non-linear approach to signal processing bymeans of vector measure orthogonal functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4171/PRIMS/105
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation García-Raffi, LM.; Jiménez Fernández, E.; Sánchez Pérez, EA. (2013). A non-linear approach to signal processing bymeans of vector measure orthogonal functions. Publications of the Research Institute for Mathematical Sciences. 49(2):241-269. https://doi.org/10.4171/PRIMS/105 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.4171/PRIMS/105 es_ES
dc.description.upvformatpinicio 241 es_ES
dc.description.upvformatpfin 269 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 49 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 232692
dc.identifier.eissn 1663-4926
dc.contributor.funder Ministerio de Ciencia e Innovación


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