Publication: Convolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theory
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señales | es |
dc.contributor.author | García García, Antonio | |
dc.contributor.author | Hernández Medina, Miguel Ángel | |
dc.contributor.author | Pérez Villalón, Gerardo | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.date.accessioned | 2021-04-23T11:40:04Z | |
dc.date.available | 2021-04-23T11:40:04Z | |
dc.date.issued | 2020-02-05 | |
dc.description.abstract | A 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.sponsorship | This work has been supported by the grant MTM2017-84098-P from the Spanish Ministerio de Economía y Competitividad (MINECO). | en |
dc.description.status | Publicado | es |
dc.format.extent | 22 | |
dc.identifier.bibliographicCitation | Results in Mathematics, (2020), v. 75, Article number: 40. | en |
dc.identifier.doi | https://doi.org/10.1007/s00025-020-1164-y | |
dc.identifier.issn | 1422-6383 | |
dc.identifier.publicationfirstpage | 1 | |
dc.identifier.publicationlastpage | 22 | |
dc.identifier.publicationtitle | Results in Mathematics | en |
dc.identifier.publicationvolume | 75 | |
dc.identifier.uri | https://hdl.handle.net/10016/32474 | |
dc.identifier.uxxi | AR/0000025589 | |
dc.language.iso | eng | en |
dc.publisher | Springer | es |
dc.relation.projectID | Gobierno de España. MTM2017-84098-P | es |
dc.rights | © 2020 Springer Nature Switzerland AG. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Convolution systems | en |
dc.subject.other | Discrete abelian groups | en |
dc.subject.other | Dual frames | en |
dc.subject.other | Sampling expansion | en |
dc.subject.other | Unitary representation of a group | en |
dc.title | Convolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theory | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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