Publication:
Knit product of finite groups and sampling

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
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.authorIbort Latre, Luis Alberto
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-29T08:47:09Z
dc.date.available2021-04-29T08:47:09Z
dc.date.issued2019-12
dc.description.abstractA finite sampling theory associated with a unitary representation of a finite non-abelian group G on a Hilbert space is established. The non-abelian group G is a knit product N⋈H of two finite subgroups N and H where at least N or H is abelian. Sampling formulas where the samples are indexed by either N or H are obtained. Using suitable expressions for the involved samples, the problem is reduced to obtain dual frames in the Hilbert space ℓ2(G) having a unitary invariance property; this is done by using matrix analysis techniques. An example involving dihedral groups illustrates the obtained sampling results.en
dc.format.extent16
dc.identifier.bibliographicCitationGarcía, A. G., Hernández-Medina, M. A. & Ibort, A. (2019). Knit Product of Finite Groups and Sampling. Mediterranean Journal of Mathematics, 16(6), 1–16.en
dc.identifier.doihttps://doi.org/10.1007/s00009-019-1417-8
dc.identifier.issn1660-5446
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue6
dc.identifier.publicationlastpage16
dc.identifier.publicationtitleMediterranean Journal of Mathematicsen
dc.identifier.publicationvolume16
dc.identifier.urihttps://hdl.handle.net/10016/32507
dc.identifier.uxxiAR/0000024400
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. MTM2017-84098-Pes
dc.rights© 2019, Springer Nature Switzerland AG.en
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherDual framesen
dc.subject.otherFinite framesen
dc.subject.otherFinite unitary-invariant subspacesen
dc.subject.otherKnit product of groupsen
dc.subject.otherLeft-inversesen
dc.subject.otherSampling expansionsen
dc.subject.otherUnitary representation of a groupen
dc.titleKnit product of finite groups and samplingen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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