Knit product of finite groups and sampling

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Show simple item record García García, Antonio Hernández Medina, Miguel Ángel Ibort Latre, Luis Alberto 2021-04-29T08:47:09Z 2021-04-29T08:47:09Z 2019-12
dc.identifier.bibliographicCitation García, A. G., Hernández-Medina, M. A. & Ibort, A. (2019). Knit Product of Finite Groups and Sampling. Mediterranean Journal of Mathematics, 16(6), 1–16.
dc.identifier.issn 1660-5446
dc.description.abstract A 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.
dc.format.extent 16
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2019, Springer Nature Switzerland AG.
dc.subject.other Dual frames
dc.subject.other Finite frames
dc.subject.other Finite unitary-invariant subspaces
dc.subject.other Knit product of groups
dc.subject.other Left-inverses
dc.subject.other Sampling expansions
dc.subject.other Unitary representation of a group
dc.title Knit product of finite groups and sampling
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2017-84098-P
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 6
dc.identifier.publicationlastpage 16
dc.identifier.publicationtitle Mediterranean Journal of Mathematics
dc.identifier.publicationvolume 16
dc.identifier.uxxi AR/0000024400
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Análisis Aplicado
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señales
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