Shift-modulation invariant spaces on LCA groups

A (K;?) shift-modulation invariant space is a subspace of L 2(G) that is invariant under translations along elements in K and modulations by elements in ?. Here G is a locally compact abelian group, and K and ? are closed subgroups of G and the dual group ^ G, respectively. We provide a characteriza...

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Autores principales: Cabrelli, Carlos Alberto, Paternostro, Victoria
Publicado: 2012
Materias:
Fibers.
LCA groups
Range functions
Shift-modulation invariant space
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v211_n1_p1_Cabrelli
http://hdl.handle.net/20.500.12110/paper_00393223_v211_n1_p1_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00393223_v211_n1_p1_Cabrelli
record_format dspace
spelling paper:paper_00393223_v211_n1_p1_Cabrelli2023-06-08T15:03:33Z Shift-modulation invariant spaces on LCA groups Cabrelli, Carlos Alberto Paternostro, Victoria Fibers. LCA groups Range functions Shift-modulation invariant space A (K;?) shift-modulation invariant space is a subspace of L 2(G) that is invariant under translations along elements in K and modulations by elements in ?. Here G is a locally compact abelian group, and K and ? are closed subgroups of G and the dual group ^ G, respectively. We provide a characterization of shift-modulation invariant spaces when K and ? are uniform lattices. This extends previous results known for L 2(R d). We develop berization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization. © Instytut Matematyczny PAN, 2012. Fil:Cabrelli, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paternostro, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v211_n1_p1_Cabrelli http://hdl.handle.net/20.500.12110/paper_00393223_v211_n1_p1_Cabrelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fibers.
LCA groups
Range functions
Shift-modulation invariant space
spellingShingle Fibers.
LCA groups
Range functions
Shift-modulation invariant space
Cabrelli, Carlos Alberto
Paternostro, Victoria
Shift-modulation invariant spaces on LCA groups
topic_facet Fibers.
LCA groups
Range functions
Shift-modulation invariant space
description A (K;?) shift-modulation invariant space is a subspace of L 2(G) that is invariant under translations along elements in K and modulations by elements in ?. Here G is a locally compact abelian group, and K and ? are closed subgroups of G and the dual group ^ G, respectively. We provide a characterization of shift-modulation invariant spaces when K and ? are uniform lattices. This extends previous results known for L 2(R d). We develop berization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization. © Instytut Matematyczny PAN, 2012.
author Cabrelli, Carlos Alberto
Paternostro, Victoria
author_facet Cabrelli, Carlos Alberto
Paternostro, Victoria
author_sort Cabrelli, Carlos Alberto
title Shift-modulation invariant spaces on LCA groups
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
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v211_n1_p1_Cabrelli
http://hdl.handle.net/20.500.12110/paper_00393223_v211_n1_p1_Cabrelli
work_keys_str_mv AT cabrellicarlosalberto shiftmodulationinvariantspacesonlcagroups
AT paternostrovictoria shiftmodulationinvariantspacesonlcagroups
_version_ 1768545178952400896

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