Publication:
The Kramer sampling theorem revisited

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señaleses
dc.contributor.authorGarcía García, Antonio
dc.contributor.authorHernández-Medina, M. A.
dc.contributor.authorMuñoz-Bouzo, María José
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2022-11-03T10:04:50Z
dc.date.available2022-11-03T10:04:50Z
dc.date.issued2014-10-01
dc.description.abstractThe classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space through an -valued kernel K defined on an appropriate domain.en
dc.description.sponsorshipThis work has been supported by the grant MTM2009–08345 from the Spanish Ministerio de Ciencia e Innovación (MICNN).en
dc.description.statusPublicadoes
dc.identifier.bibliographicCitationActa Applicandae Mathematicae, (2014), 133(1), pp.: 87–111.en
dc.identifier.doihttps://doi.org/10.1007/s10440-013-9860-1
dc.identifier.issn0167-8019
dc.identifier.publicationfirstpage87
dc.identifier.publicationissue1
dc.identifier.publicationlastpage111
dc.identifier.publicationtitleACTA APPLICANDAE MATHEMATICAEen
dc.identifier.publicationvolume133
dc.identifier.urihttps://hdl.handle.net/10016/35961
dc.identifier.uxxiAR/0000015645
dc.language.isoengen
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. MTM2009–08345es
dc.rights© Springer Science+Business Media Dordrecht 2013en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherSampling formulasen
dc.subject.otherKramer kernelsen
dc.subject.otherReproducing kernel Hilbert spacesen
dc.subject.otherLagrange-type interpolation seriesen
dc.subject.otherZero-removing propertyen
dc.subject.otherSemi-inner productsen
dc.subject.otherReproducing kernel Banach spacesen
dc.subject.otherReproducing distributionsen
dc.titleThe Kramer sampling theorem revisiteden
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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