New convolutions with Hermite weight functions

Detalhes bibliográficos
Autor(a) principal: Castro, Luís Pinheiro
Data de Publicação: 2021
Outros Autores: Silva, Anabela Sousa, 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/10773/30663
Resumo: In this paper, we are working with convolutions on the positive half-line, for Lebesgue integrable functions. Six new convolutions are introduced. Factorization identities for these convolutions are derived, upon the use of Fourier sine and cosine transforms and Hermite functions. Such convolutions allowus to consider systems of convolution type equations on the half-line. Using two different methods, such systems of convolution integral equations will be analyzed. Conditions for their solvability will be considered and, under such conditions, their solutions are obtained.
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spelling New convolutions with Hermite weight functionsConvolution(Sine and cosine) integral transformsHermite functionsFactorization propertyIntegral equations of convolution typeIn this paper, we are working with convolutions on the positive half-line, for Lebesgue integrable functions. Six new convolutions are introduced. Factorization identities for these convolutions are derived, upon the use of Fourier sine and cosine transforms and Hermite functions. Such convolutions allowus to consider systems of convolution type equations on the half-line. Using two different methods, such systems of convolution integral equations will be analyzed. Conditions for their solvability will be considered and, under such conditions, their solutions are obtained.Springer2022-02-15T00:00:00Z2021-02-15T00:00:00Z2021-02-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/30663eng1017-060X10.1007/s41980-020-00496-1Castro, Luís PinheiroSilva, Anabela SousaTuan, Nguyen Minhinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:59:13Zoai:ria.ua.pt:10773/30663Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:02:41.805369Repositório 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 with Hermite weight functions
title New convolutions with Hermite weight functions
spellingShingle New convolutions with Hermite weight functions
Castro, Luís Pinheiro
Convolution
(Sine and cosine) integral transforms
Hermite functions
Factorization property
Integral equations of convolution type
title_short New convolutions with Hermite weight functions
title_full New convolutions with Hermite weight functions
title_fullStr New convolutions with Hermite weight functions
title_full_unstemmed New convolutions with Hermite weight functions
title_sort New convolutions with Hermite weight functions
author Castro, Luís Pinheiro
author_facet Castro, Luís Pinheiro
Silva, Anabela Sousa
Tuan, Nguyen Minh
author_role author
author2 Silva, Anabela Sousa
Tuan, Nguyen Minh
author2_role author
author
dc.contributor.author.fl_str_mv Castro, Luís Pinheiro
Silva, Anabela Sousa
Tuan, Nguyen Minh
dc.subject.por.fl_str_mv Convolution
(Sine and cosine) integral transforms
Hermite functions
Factorization property
Integral equations of convolution type
topic Convolution
(Sine and cosine) integral transforms
Hermite functions
Factorization property
Integral equations of convolution type
description In this paper, we are working with convolutions on the positive half-line, for Lebesgue integrable functions. Six new convolutions are introduced. Factorization identities for these convolutions are derived, upon the use of Fourier sine and cosine transforms and Hermite functions. Such convolutions allowus to consider systems of convolution type equations on the half-line. Using two different methods, such systems of convolution integral equations will be analyzed. Conditions for their solvability will be considered and, under such conditions, their solutions are obtained.
publishDate 2021
dc.date.none.fl_str_mv 2021-02-15T00:00:00Z
2021-02-15
2022-02-15T00:00:00Z
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/10773/30663
url http://hdl.handle.net/10773/30663
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1017-060X
10.1007/s41980-020-00496-1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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