On Wiener’s Tauberian theorems and convolution for oscillatory integral operators

Detalhes bibliográficos
Autor(a) principal: Castro, Luís Pinheiro de
Data de Publicação: 2019
Outros Autores: Guerra, Rita Correia, Tuan, Nguyen Minh
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26235
Resumo: The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-type algebra is also associated with this convolution.
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spelling On Wiener’s Tauberian theorems and convolution for oscillatory integral operatorsWiener Tauberian theoremPaley–Wiener theoremConvolutionAsymptotic behaviorYoung inequalityThe main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-type algebra is also associated with this convolution.TÜBİTAK - The Scientific and Technological Research Council of Turkey2019-06-19T11:14:56Z2019-05-01T00:00:00Z2019-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26235eng1300-009810.3906/mat-1801-90Castro, Luís Pinheiro deGuerra, Rita CorreiaTuan, Nguyen Minhinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:50:48Zoai:ria.ua.pt:10773/26235Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:16.561766Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
title On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
spellingShingle On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
Castro, Luís Pinheiro de
Wiener Tauberian theorem
Paley–Wiener theorem
Convolution
Asymptotic behavior
Young inequality
title_short On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
title_full On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
title_fullStr On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
title_full_unstemmed On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
title_sort On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
author Castro, Luís Pinheiro de
author_facet Castro, Luís Pinheiro de
Guerra, Rita Correia
Tuan, Nguyen Minh
author_role author
author2 Guerra, Rita Correia
Tuan, Nguyen Minh
author2_role author
author
dc.contributor.author.fl_str_mv Castro, Luís Pinheiro de
Guerra, Rita Correia
Tuan, Nguyen Minh
dc.subject.por.fl_str_mv Wiener Tauberian theorem
Paley–Wiener theorem
Convolution
Asymptotic behavior
Young inequality
topic Wiener Tauberian theorem
Paley–Wiener theorem
Convolution
Asymptotic behavior
Young inequality
description The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-type algebra is also associated with this convolution.
publishDate 2019
dc.date.none.fl_str_mv 2019-06-19T11:14:56Z
2019-05-01T00:00:00Z
2019-05
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/26235
url http://hdl.handle.net/10773/26235
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1300-0098
10.3906/mat-1801-90
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv TÜBİTAK - The Scientific and Technological Research Council of Turkey
publisher.none.fl_str_mv TÜBİTAK - The Scientific and Technological Research Council of Turkey
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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