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Sampling-related frames in finite U-invariant subspaces

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dc.affiliation.dptoUC3M. Departamento de Economía de la Empresaes
dc.contributor.authorGarcía García, Antonio
dc.contributor.authorMuñoz-Bouzo, María José
dc.date.accessioned2022-12-15T09:16:55Z
dc.date.available2022-12-15T09:16:55Z
dc.date.issued2015-07-01
dc.description.abstractRecently, a sampling theory for infinite dimensional U-invariant subspaces of a separable Hilbert space H where U denotes a unitary operator on H has been obtained. Thus, uniform average sampling for shift-invariant subspaces of L-2(R) becomes a particular example. As in the general case it is possible to have finite dimensional U-invariant subspaces, the main aim of this paper is to derive a sampling theory for finite dimensional U-invariant subspaces of a separable Hilbert space H. Since the used samples are frame coefficients in a suitable euclidean space C-N, the problem reduces to obtain dual frames with a U-invariance property.en
dc.format.extent12
dc.identifier.bibliographicCitationGarcía, A. G. & Muñoz-Bouzo, M. J. (2015). Sampling-related frames in finite U-invariant subspaces. Applied and Computational Harmonic Analysis, 39(1), 173-184.en
dc.identifier.doihttps://doi.org/10.1016/j.acha.2014.09.008
dc.identifier.issn1063-5203
dc.identifier.publicationfirstpage173
dc.identifier.publicationissue1
dc.identifier.publicationlastpage184
dc.identifier.publicationtitleApplied and Computational Harmonic Analysisen
dc.identifier.publicationvolume39
dc.identifier.urihttps://hdl.handle.net/10016/36185
dc.identifier.uxxiAR/0000016908
dc.language.isoeng
dc.publisherElsevieren
dc.rights© 2014 Elsevier Inc. All rights reserveden
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaInformáticaes
dc.subject.otherStationary sequencesen
dc.subject.otherU-invariant subspacesen
dc.subject.otherFinite frameen
dc.subject.otherDual framesen
dc.subject.otherMoore-Penrose pseudo-inverseen
dc.titleSampling-related frames in finite U-invariant subspacesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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