Characterization of coorbit spaces with phase-space covers

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We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, w...

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Autor principal: Romero, J.L.
Formato: Artículo publishedVersion
Publicado: 2012
Materias:
Amalgam space
Coorbit theory
Localization operator
Phase-space localization
Wavelet transform
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00221236_v262_n1_p59_Romero
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v262_n1_p59_Romero_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00221236_v262_n1_p59_Romero_oai
record_format dspace
spelling I28-R145-paper_00221236_v262_n1_p59_Romero_oai2024-08-16 Romero, J.L. 2012 We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting. © 2011 Elsevier Inc. Fil:Romero, J.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00221236_v262_n1_p59_Romero info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Funct. Anal. 2012;262(1):59-93 Amalgam space Coorbit theory Localization operator Phase-space localization Wavelet transform Characterization of coorbit spaces with phase-space covers info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v262_n1_p59_Romero_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Amalgam space
Coorbit theory
Localization operator
Phase-space localization
Wavelet transform
spellingShingle Amalgam space
Coorbit theory
Localization operator
Phase-space localization
Wavelet transform
Romero, J.L.
Characterization of coorbit spaces with phase-space covers
topic_facet Amalgam space
Coorbit theory
Localization operator
Phase-space localization
Wavelet transform
description We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting. © 2011 Elsevier Inc.
format Artículo
Artículo
publishedVersion
author Romero, J.L.
author_facet Romero, J.L.
author_sort Romero, J.L.
title Characterization of coorbit spaces with phase-space covers
title_short Characterization of coorbit spaces with phase-space covers
title_full Characterization of coorbit spaces with phase-space covers
title_fullStr Characterization of coorbit spaces with phase-space covers
title_full_unstemmed Characterization of coorbit spaces with phase-space covers
title_sort characterization of coorbit spaces with phase-space covers
publishDate 2012
url http://hdl.handle.net/20.500.12110/paper_00221236_v262_n1_p59_Romero
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00221236_v262_n1_p59_Romero_oai
work_keys_str_mv AT romerojl characterizationofcoorbitspaceswithphasespacecovers
_version_ 1809356975747629056

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