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
Lenguaje:Inglés
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00221236_v262_n1_p59_Romero2023-06-12T16:43:52Z Characterization of coorbit spaces with phase-space covers J. Funct. Anal. 2012;262(1):59-93 Romero, J.L. Amalgam space Coorbit theory Localization operator Phase-space localization Wavelet transform 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. 2012 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00221236_v262_n1_p59_Romero
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
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
work_keys_str_mv AT romerojl characterizationofcoorbitspaceswithphasespacecovers
_version_ 1769810088431714304

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