Characterization of coorbit spaces with phase-space covers

Autores
Romero, Jose Luis Fernando
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Romero, Jose Luis Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
AMALGAM SPACE
COORBIT THEORY
LOCALIZATION OPERATOR
PHASE-SPACE LOCALIZATION
WAVELET TRANSFORM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/68253
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/68253
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Characterization of coorbit spaces with phase-space coversRomero, Jose Luis FernandoAMALGAM SPACECOORBIT THEORYLOCALIZATION OPERATORPHASE-SPACE LOCALIZATIONWAVELET TRANSFORMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.Fil: Romero, Jose Luis Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/68253Romero, Jose Luis Fernando; Characterization of coorbit spaces with phase-space covers; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 262; 1; 1-2012; 59-930022-1236CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2011.09.005info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S002212361100334Xinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1007.3528info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:10:17Zoai:ri.conicet.gov.ar:11336/68253instacron: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:34982025-09-29 10:10:18.149CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Characterization of coorbit spaces with phase-space covers
title Characterization of coorbit spaces with phase-space covers
spellingShingle Characterization of coorbit spaces with phase-space covers
Romero, Jose Luis Fernando
AMALGAM SPACE
COORBIT THEORY
LOCALIZATION OPERATOR
PHASE-SPACE LOCALIZATION
WAVELET TRANSFORM
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
dc.creator.none.fl_str_mv Romero, Jose Luis Fernando
author Romero, Jose Luis Fernando
author_facet Romero, Jose Luis Fernando
author_role author
dc.subject.none.fl_str_mv AMALGAM SPACE
COORBIT THEORY
LOCALIZATION OPERATOR
PHASE-SPACE LOCALIZATION
WAVELET TRANSFORM
topic AMALGAM SPACE
COORBIT THEORY
LOCALIZATION OPERATOR
PHASE-SPACE LOCALIZATION
WAVELET TRANSFORM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Romero, Jose Luis Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
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.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
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/11336/68253
Romero, Jose Luis Fernando; Characterization of coorbit spaces with phase-space covers; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 262; 1; 1-2012; 59-93
0022-1236
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68253
identifier_str_mv Romero, Jose Luis Fernando; Characterization of coorbit spaces with phase-space covers; Academic Press Inc Elsevier Science; Journal Of Functional Analysis; 262; 1; 1-2012; 59-93
0022-1236
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2011.09.005
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S002212361100334X
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1007.3528
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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_ 1844613990642089984
score 13.070432

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