On integral operators and equations generated by cosine and sine Fourier transforms

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2018
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/10773/26920
Resumo: In this paper, we study some properties of a class of integral operators that depends on the cosine and sine Fourier transforms. In particular, we will exhibit properties related with their invertibility, the spectrum, Parseval type identities and involutions. Moreover, a new convolution will be proposed and consequent integral equations will be also studied in detail. Namely, we will characterize the solvability of two integral equations which are associated with the integral operator under study. Moreover, under appropriate conditions, the unique solutions of those two equations are also obtained in a constructive way.
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spelling On integral operators and equations generated by cosine and sine Fourier transformsIntegral operatorIntegral equationParseval type identityInvolutionConvolutionSolvabilityIn this paper, we study some properties of a class of integral operators that depends on the cosine and sine Fourier transforms. In particular, we will exhibit properties related with their invertibility, the spectrum, Parseval type identities and involutions. Moreover, a new convolution will be proposed and consequent integral equations will be also studied in detail. Namely, we will characterize the solvability of two integral equations which are associated with the integral operator under study. Moreover, under appropriate conditions, the unique solutions of those two equations are also obtained in a constructive way.AIP Publishing2019-12-05T00:00:00Z2018-12-04T00:00:00Z2018-12-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26920eng0094-243X10.1063/1.5081533Castro, 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:RCAAP2024-02-22T11:52:10Zoai:ria.ua.pt:10773/26920Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:49.329626Repositório 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 integral operators and equations generated by cosine and sine Fourier transforms
title On integral operators and equations generated by cosine and sine Fourier transforms
spellingShingle On integral operators and equations generated by cosine and sine Fourier transforms
Castro, L. P.
Integral operator
Integral equation
Parseval type identity
Involution
Convolution
Solvability
title_short On integral operators and equations generated by cosine and sine Fourier transforms
title_full On integral operators and equations generated by cosine and sine Fourier transforms
title_fullStr On integral operators and equations generated by cosine and sine Fourier transforms
title_full_unstemmed On integral operators and equations generated by cosine and sine Fourier transforms
title_sort On integral operators and equations generated by cosine and sine Fourier transforms
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 Integral operator
Integral equation
Parseval type identity
Involution
Convolution
Solvability
topic Integral operator
Integral equation
Parseval type identity
Involution
Convolution
Solvability
description In this paper, we study some properties of a class of integral operators that depends on the cosine and sine Fourier transforms. In particular, we will exhibit properties related with their invertibility, the spectrum, Parseval type identities and involutions. Moreover, a new convolution will be proposed and consequent integral equations will be also studied in detail. Namely, we will characterize the solvability of two integral equations which are associated with the integral operator under study. Moreover, under appropriate conditions, the unique solutions of those two equations are also obtained in a constructive way.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-04T00:00:00Z
2018-12-04
2019-12-05T00:00:00Z
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/10773/26920
url http://hdl.handle.net/10773/26920
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0094-243X
10.1063/1.5081533
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 AIP Publishing
publisher.none.fl_str_mv AIP Publishing
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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