New convolutions weighted by Hermite functions and their applications

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2019
Outros Autores: Guerra, R. C., Tuan, N. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26079
Resumo: We introduce eight new convolutions weighted by multi-dimensional Hermite functions, prove two Young-type inequalities, and exhibit their applications in different subjects. One application consists in the study of the solvability of a very general class of integral equations whose kernel depends on four different functions. Necessary and sufficient conditions for the unique solvability of such integral equations are here obtained.
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spelling New convolutions weighted by Hermite functions and their applicationsConvolutionYoung’s inequalityintegral equationHermite functionNormed ringWiener’s algebraWe introduce eight new convolutions weighted by multi-dimensional Hermite functions, prove two Young-type inequalities, and exhibit their applications in different subjects. One application consists in the study of the solvability of a very general class of integral equations whose kernel depends on four different functions. Necessary and sufficient conditions for the unique solvability of such integral equations are here obtained.Element D.O.O.2020-04-01T00:00:00Z2019-01-01T00:00:00Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26079eng1331-434310.7153/mia-2019-22-49Castro, L. P.Guerra, R. C.Tuan, N. M.info: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:RCAAP2024-02-22T11:50:28Zoai:ria.ua.pt:10773/26079Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:09.179794Repositório 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 weighted by Hermite functions and their applications
title New convolutions weighted by Hermite functions and their applications
spellingShingle New convolutions weighted by Hermite functions and their applications
Castro, L. P.
Convolution
Young’s inequality
integral equation
Hermite function
Normed ring
Wiener’s algebra
title_short New convolutions weighted by Hermite functions and their applications
title_full New convolutions weighted by Hermite functions and their applications
title_fullStr New convolutions weighted by Hermite functions and their applications
title_full_unstemmed New convolutions weighted by Hermite functions and their applications
title_sort New convolutions weighted by Hermite functions and their applications
author Castro, L. P.
author_facet Castro, L. P.
Guerra, R. C.
Tuan, N. M.
author_role author
author2 Guerra, R. C.
Tuan, N. M.
author2_role author
author
dc.contributor.author.fl_str_mv Castro, L. P.
Guerra, R. C.
Tuan, N. M.
dc.subject.por.fl_str_mv Convolution
Young’s inequality
integral equation
Hermite function
Normed ring
Wiener’s algebra
topic Convolution
Young’s inequality
integral equation
Hermite function
Normed ring
Wiener’s algebra
description We introduce eight new convolutions weighted by multi-dimensional Hermite functions, prove two Young-type inequalities, and exhibit their applications in different subjects. One application consists in the study of the solvability of a very general class of integral equations whose kernel depends on four different functions. Necessary and sufficient conditions for the unique solvability of such integral equations are here obtained.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01T00:00:00Z
2019
2020-04-01T00:00:00Z
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/10773/26079
url http://hdl.handle.net/10773/26079
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1331-4343
10.7153/mia-2019-22-49
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 Element D.O.O.
publisher.none.fl_str_mv Element D.O.O.
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
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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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