New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type

Detalhes bibliográficos
Autor(a) principal: Castro, Luis P.
Data de Publicação: 2020
Outros Autores: Guerra, Rita C., 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/10773/28231
Resumo: We propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier-type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener-Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier-type series are used to produce the solution formula of such equations and a Shannon-type sampling formula is also obtained.
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spelling New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel typeConvolutionIntegral equationFactorizationFourier integral operatorWiener-Hopf operatorHankel operatorWe propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier-type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener-Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier-type series are used to produce the solution formula of such equations and a Shannon-type sampling formula is also obtained.Wiley2021-05-15T00:00:00Z2020-05-15T00:00:00Z2020-05-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/28231eng0170-421410.1002/mma.6236Castro, Luis P.Guerra, Rita C.Tuan, 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:RCAAP2024-02-22T11:54:37Zoai:ria.ua.pt:10773/28231Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:00:49.379894Repositório 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 New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
title New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
spellingShingle New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
Castro, Luis P.
Convolution
Integral equation
Factorization
Fourier integral operator
Wiener-Hopf operator
Hankel operator
title_short New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
title_full New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
title_fullStr New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
title_full_unstemmed New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
title_sort New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type
author Castro, Luis P.
author_facet Castro, Luis P.
Guerra, Rita C.
Tuan, Nguyen Minh
author_role author
author2 Guerra, Rita C.
Tuan, Nguyen Minh
author2_role author
author
dc.contributor.author.fl_str_mv Castro, Luis P.
Guerra, Rita C.
Tuan, Nguyen Minh
dc.subject.por.fl_str_mv Convolution
Integral equation
Factorization
Fourier integral operator
Wiener-Hopf operator
Hankel operator
topic Convolution
Integral equation
Factorization
Fourier integral operator
Wiener-Hopf operator
Hankel operator
description We propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier-type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener-Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier-type series are used to produce the solution formula of such equations and a Shannon-type sampling formula is also obtained.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-15T00:00:00Z
2020-05-15
2021-05-15T00:00:00Z
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/10773/28231
url http://hdl.handle.net/10773/28231
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0170-4214
10.1002/mma.6236
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 Wiley
publisher.none.fl_str_mv Wiley
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
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