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Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions

dc.creatorDomínguez de la Iglesia, Manueles
dc.date.accessioned2016-06-16T10:52:30Z
dc.date.available2016-06-16T10:52:30Z
dc.date.issued2011-05
dc.identifier.citationDomínguez de la Iglesia, M. (2011). Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions. Journal of Approximation Theory, 163 (5), 663-687.
dc.identifier.issn0021-9045es
dc.identifier.issn1096-0430es
dc.identifier.urihttp://hdl.handle.net/11441/42402
dc.description.abstractThe aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schrödinger type and an integral operator of Fourier type. As a consequence we derive integral equations of these functions as well as other useful structural formulas. Some of these functions are plotted to show the relationship with the Hermite or wave functions.es
dc.description.sponsorshipDirección General de Enseñanza Superiores
dc.description.sponsorshipJunta de Andalucíaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Approximation Theory, 163 (5), 663-687.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMatrix-valued Schrödinger operatorses
dc.subjectmatrix-valued orthogonal polynomialses
dc.subjectFourier analysises
dc.titleSome examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctionses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2009-12740-C03-02es
dc.relation.projectIDFQM-229es
dc.relation.projectIDFQM-481es
dc.relation.projectIDP06-FQM-01738es
dc.relation.projectID2008-0207es
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jat.2011.02.004
dc.identifier.doi10.1016/j.jat.2011.02.004es
idus.format.extent25 p.es
dc.journaltitleJournal of Approximation Theoryes
dc.publication.volumen163es
dc.publication.issue5es
dc.publication.initialPage663es
dc.publication.endPage687es
dc.relation.publicationplaceAmsterdames
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/42402
dc.contributor.funderDirección General de Enseñanza Superior. España
dc.contributor.funderJunta de Andalucía

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