Szegö Kernel for Hardy space of matrix functions

Detalhes bibliográficos
Autor(a) principal: He, Fuli
Data de Publicação: 2016
Outros Autores: Ku, Min, Kähler, Uwe
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15034
Resumo: By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szegö projection operator for the Hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.
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spelling Szegö Kernel for Hardy space of matrix functionsHardy spaceHermitean Clifford analysisSzegö projectionMatrix functionBy the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szegö projection operator for the Hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.Elsevier2018-07-20T14:00:51Z2016-01-01T00:00:00Z2016-012016-12-31T14:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15034eng0252-960210.1016/S0252-9602(15)30088-6He, FuliKu, MinKähler, Uweinfo: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:RCAAP2024-02-22T11:27:45Zoai:ria.ua.pt:10773/15034Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:29.536156Repositório 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 Szegö Kernel for Hardy space of matrix functions
title Szegö Kernel for Hardy space of matrix functions
spellingShingle Szegö Kernel for Hardy space of matrix functions
He, Fuli
Hardy space
Hermitean Clifford analysis
Szegö projection
Matrix function
title_short Szegö Kernel for Hardy space of matrix functions
title_full Szegö Kernel for Hardy space of matrix functions
title_fullStr Szegö Kernel for Hardy space of matrix functions
title_full_unstemmed Szegö Kernel for Hardy space of matrix functions
title_sort Szegö Kernel for Hardy space of matrix functions
author He, Fuli
author_facet He, Fuli
Ku, Min
Kähler, Uwe
author_role author
author2 Ku, Min
Kähler, Uwe
author2_role author
author
dc.contributor.author.fl_str_mv He, Fuli
Ku, Min
Kähler, Uwe
dc.subject.por.fl_str_mv Hardy space
Hermitean Clifford analysis
Szegö projection
Matrix function
topic Hardy space
Hermitean Clifford analysis
Szegö projection
Matrix function
description By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szegö projection operator for the Hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016-01
2016-12-31T14:00:00Z
2018-07-20T14:00:51Z
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/10773/15034
url http://hdl.handle.net/10773/15034
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0252-9602
10.1016/S0252-9602(15)30088-6
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 Elsevier
publisher.none.fl_str_mv Elsevier
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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