Publication:
Convolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theory

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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, Miguel Ángel
dc.contributor.authorPérez Villalón, Gerardo
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-23T11:40:04Z
dc.date.available2021-04-23T11:40:04Z
dc.date.issued2020-02-05
dc.description.abstractA regular sampling theory in a multiply generated unitary invariant subspace of a separable Hilbert space H is proposed. This subspace is associated to a unitary representation of a countable discrete abelian group G on H. The samples are defined by means of a filtering process which generalizes the usual sampling settings. The multiply generated setting allows to consider some examples where the group G is non-abelian as, for instance, crystallographic groups. Finally, it is worth to mention that classical average or pointwise sampling in shift-invariant subspaces are particular examples included in the followed approach.en
dc.description.sponsorshipThis work has been supported by the grant MTM2017-84098-P from the Spanish Ministerio de Economía y Competitividad (MINECO).en
dc.description.statusPublicadoes
dc.format.extent22
dc.identifier.bibliographicCitationResults in Mathematics, (2020), v. 75, Article number: 40.en
dc.identifier.doihttps://doi.org/10.1007/s00025-020-1164-y
dc.identifier.issn1422-6383
dc.identifier.publicationfirstpage1
dc.identifier.publicationlastpage22
dc.identifier.publicationtitleResults in Mathematicsen
dc.identifier.publicationvolume75
dc.identifier.urihttps://hdl.handle.net/10016/32474
dc.identifier.uxxiAR/0000025589
dc.language.isoengen
dc.publisherSpringeres
dc.relation.projectIDGobierno de España. MTM2017-84098-Pes
dc.rights© 2020 Springer Nature Switzerland AG.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherConvolution systemsen
dc.subject.otherDiscrete abelian groupsen
dc.subject.otherDual framesen
dc.subject.otherSampling expansionen
dc.subject.otherUnitary representation of a groupen
dc.titleConvolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theoryen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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