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Finite Sampling in Multiple Generated U-Invariant Subspaces

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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.authorFernández Morales, Héctor Raúl
dc.contributor.authorGarcía García, Antonio
dc.contributor.authorMuñoz Bouzo, Maria Jose
dc.contributor.authorOrtega García, Alejandro
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-28T09:49:31Z
dc.date.available2021-04-28T09:49:31Z
dc.date.issued2016-04
dc.description.abstractThe relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a unitary operator on H, is nowadays a recognized fact. Indeed, shift-invariant subspaces of L-2(R) become a particular example; periodic extensions of finite signals also provide a remarkable example. As a consequence, the availability of an abstract U-sampling theory becomes a useful tool to handle these problems. In this paper, we derive a sampling theory for finite dimensional multiple generated U-invariant subspaces of a Hilbert space H. As the involved samples are identified as frame coefficients in a suitable euclidean space, the relevant mathematical technique is that of the finite frame theory. Since finite frames are nothing but spanning sets of vectors, the used technique naturally meets matrix analysis.en
dc.format.extent10
dc.identifier.bibliographicCitationFernández-Morales H. R., García A. G., Muñoz-Bouzo M. J. & Ortega A. (2016). Finite Sampling in Multiple Generated U -Invariant Subspaces. IEEE Transactions on Information Theory, 62(4), pp. 2203-2212.en
dc.identifier.doihttps://doi.org/10.1109/TIT.2016.2531086
dc.identifier.issn0018-9448
dc.identifier.publicationfirstpage2203
dc.identifier.publicationissue4
dc.identifier.publicationlastpage2212
dc.identifier.publicationtitleIEEE Transactions on Information Theoryen
dc.identifier.publicationvolume62
dc.identifier.urihttps://hdl.handle.net/10016/32499
dc.identifier.uxxiAR/0000017927
dc.language.isoeng
dc.publisherIEEE
dc.relation.projectIDGobierno de España. MTM2014-54692-Pes
dc.rights© 2016, IEEE.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticasen
dc.subject.otherFinite U-invariant subspacesen
dc.subject.otherFinite framesen
dc.subject.otherDual framesen
dc.subject.otherMoore-penrose pseudo-inverseen
dc.subject.otherLeft-inversesen
dc.subject.otherShift-invarianten
dc.subject.otherSpacesen
dc.subject.otherReconstructionen
dc.titleFinite Sampling in Multiple Generated U-Invariant Subspacesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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