Known and new results on absolute convergence of Fourier integrals

New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d &...

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Detalhes bibliográficos
Autores: Liflyand, E., Trigub, Roald M.
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:47990
Acesso em linha:https://ddd.uab.cat/record/47990
Access Level:acceso abierto
Palavra-chave:Fourier, Operadors integrals de
Fourier, Anàlisi de
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spelling Known and new results on absolute convergence of Fourier integralsLiflyand, E.Trigub, Roald M.Fourier, Operadors integrals deFourier, Anàlisi deNew sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22009-01-0120092009-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/47990reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:479902026-06-06T12:50:31Z
dc.title.none.fl_str_mv Known and new results on absolute convergence of Fourier integrals
title Known and new results on absolute convergence of Fourier integrals
spellingShingle Known and new results on absolute convergence of Fourier integrals
Liflyand, E.
Fourier, Operadors integrals de
Fourier, Anàlisi de
title_short Known and new results on absolute convergence of Fourier integrals
title_full Known and new results on absolute convergence of Fourier integrals
title_fullStr Known and new results on absolute convergence of Fourier integrals
title_full_unstemmed Known and new results on absolute convergence of Fourier integrals
title_sort Known and new results on absolute convergence of Fourier integrals
dc.creator.none.fl_str_mv Liflyand, E.
Trigub, Roald M.
author Liflyand, E.
author_facet Liflyand, E.
Trigub, Roald M.
author_role author
author2 Trigub, Roald M.
author2_role author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv Fourier, Operadors integrals de
Fourier, Anàlisi de
topic Fourier, Operadors integrals de
Fourier, Anàlisi de
description New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.
publishDate 2009
dc.date.none.fl_str_mv 2
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/47990
url https://ddd.uab.cat/record/47990
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Centre de Recerca Matemàtica
publisher.none.fl_str_mv Centre de Recerca Matemàtica
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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