Shift-modulation invariant spaces on LCA groups

Autores
Cabrelli, Carlos; Paternostro, Victoria
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A (K,Λ) shift-modulation invariant space is a subspace of L2(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Gˆ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for L2(Rd). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.
Fil: Cabrelli, Carlos. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Paternostro, Victoria. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Shift-modulation invariant space
LCA groups
Range functions
Fibers
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/19991
Acceder
id CONICETDig_797bf326d620b508ea247882a83f9eb4
oai_identifier_str oai:ri.conicet.gov.ar:11336/19991
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Shift-modulation invariant spaces on LCA groupsCabrelli, CarlosPaternostro, VictoriaShift-modulation invariant spaceLCA groupsRange functionsFibershttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A (K,Λ) shift-modulation invariant space is a subspace of L2(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Gˆ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for L2(Rd). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.Fil: Cabrelli, Carlos. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Paternostro, Victoria. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaPolish Academy of Sciences. Institute of Mathematics2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19991Cabrelli, Carlos; Paternostro, Victoria; Shift-modulation invariant spaces on LCA groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 211; -1-2012; 1-190039-32231730-6337CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4064/sm211-1-1info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/211/1/90645/shift-modulation-invariant-spaces-on-lca-groupsinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.0482info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:09:20Zoai:ri.conicet.gov.ar:11336/19991instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:09:20.435CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Shift-modulation invariant spaces on LCA groups
title Shift-modulation invariant spaces on LCA groups
spellingShingle Shift-modulation invariant spaces on LCA groups
Cabrelli, Carlos
Shift-modulation invariant space
LCA groups
Range functions
Fibers
title_short Shift-modulation invariant spaces on LCA groups
title_full Shift-modulation invariant spaces on LCA groups
title_fullStr Shift-modulation invariant spaces on LCA groups
title_full_unstemmed Shift-modulation invariant spaces on LCA groups
title_sort Shift-modulation invariant spaces on LCA groups
dc.creator.none.fl_str_mv Cabrelli, Carlos
Paternostro, Victoria
author Cabrelli, Carlos
author_facet Cabrelli, Carlos
Paternostro, Victoria
author_role author
author2 Paternostro, Victoria
author2_role author
dc.subject.none.fl_str_mv Shift-modulation invariant space
LCA groups
Range functions
Fibers
topic Shift-modulation invariant space
LCA groups
Range functions
Fibers
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A (K,Λ) shift-modulation invariant space is a subspace of L2(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Gˆ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for L2(Rd). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.
Fil: Cabrelli, Carlos. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Paternostro, Victoria. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description A (K,Λ) shift-modulation invariant space is a subspace of L2(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Gˆ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for L2(Rd). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/19991
Cabrelli, Carlos; Paternostro, Victoria; Shift-modulation invariant spaces on LCA groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 211; -1-2012; 1-19
0039-3223
1730-6337
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19991
identifier_str_mv Cabrelli, Carlos; Paternostro, Victoria; Shift-modulation invariant spaces on LCA groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 211; -1-2012; 1-19
0039-3223
1730-6337
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4064/sm211-1-1
info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/211/1/90645/shift-modulation-invariant-spaces-on-lca-groups
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.0482
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846083240721383424
score 13.22299

Publicaciones similares