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Approximation of almost time and band limited functions I: Hermite expansions

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierDépartement de mathématiques
dc.contributor.authorKAROUI, Abderrazek
hal.structure.identifierDepartment of Mathematics & Statistics
dc.contributor.authorKERMAN, Ron
hal.structure.identifierUniversity of Alberta
dc.contributor.authorSPEKTOR, Susanna
dc.date.accessioned2024-04-04T03:20:51Z
dc.date.available2024-04-04T03:20:51Z
dc.date.created2014-06
dc.date.issued2014
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194618
dc.description.abstractEnThis paper is not meant for publication. It is an expended and more detailed version of part of the paper"The approximation of almost time and band limited functions by theirexpansion in some orthogonal polynomials bases"The aim of this paper is to investigate the quality of approximation of almost time and band limited functions by its expansion in the Hermite and scaled Hermite basis. As a corollary, this allows us to obtain the rate of convergence of the Hermite expansion of function in the $L^2$-Sobolev space with fixed compact support.
dc.language.isoen
dc.subject.enAlmost time and band limited functions
dc.subject.enHermite functions
dc.title.enApproximation of almost time and band limited functions I: Hermite expansions
dc.title.enPreliminary version of the paper "The approximation of almost time and band limited functions by theirexpansion in some orthogonal polynomials bases"
dc.typeRapport
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.identifier.arxiv1407.1293
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionimb
bordeaux.type.reporti
hal.identifierhal-01018357
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01018357v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2014&rft.au=JAMING,%20Philippe&KAROUI,%20Abderrazek&KERMAN,%20Ron&SPEKTOR,%20Susanna&rft.genre=unknown


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