Discrete Hilbert boundary value problems on half lattices

Detalhes bibliográficos
Autor(a) principal: Cerejeiras, Paula
Data de Publicação: 2015
Outros Autores: Kähler, Uwe, Ku, Min
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15041
Resumo: We study discrete Hilbert boundary value problems in the case of the upper half lattice. The solutions are given in terms of the discrete Cauchy transforms for the upper and lower half space while the study of their solvability is based on the discrete Hardy decomposition for the half lattice. Furthermore, the solutions are proved to converge to those of the associated continuous Hilbert boundary value problems.
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spelling Discrete Hilbert boundary value problems on half latticesDiscrete Dirac operatorDiscrete potential theoryDiscrete Hilbert problemDiscrete Fourier transformWe study discrete Hilbert boundary value problems in the case of the upper half lattice. The solutions are given in terms of the discrete Cauchy transforms for the upper and lower half space while the study of their solvability is based on the discrete Hardy decomposition for the half lattice. Furthermore, the solutions are proved to converge to those of the associated continuous Hilbert boundary value problems.Taylor and Francis2018-07-20T14:00:51Z2015-11-02T00:00:00Z2015-11-022016-11-01T15:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15041eng1023-619810.1080/10236198.2015.1071804Cerejeiras, PaulaKähler, UweKu, Mininfo: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:RCAAP2024-02-22T11:27:41Zoai:ria.ua.pt:10773/15041Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:28.432458Repositório 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 Discrete Hilbert boundary value problems on half lattices
title Discrete Hilbert boundary value problems on half lattices
spellingShingle Discrete Hilbert boundary value problems on half lattices
Cerejeiras, Paula
Discrete Dirac operator
Discrete potential theory
Discrete Hilbert problem
Discrete Fourier transform
title_short Discrete Hilbert boundary value problems on half lattices
title_full Discrete Hilbert boundary value problems on half lattices
title_fullStr Discrete Hilbert boundary value problems on half lattices
title_full_unstemmed Discrete Hilbert boundary value problems on half lattices
title_sort Discrete Hilbert boundary value problems on half lattices
author Cerejeiras, Paula
author_facet Cerejeiras, Paula
Kähler, Uwe
Ku, Min
author_role author
author2 Kähler, Uwe
Ku, Min
author2_role author
author
dc.contributor.author.fl_str_mv Cerejeiras, Paula
Kähler, Uwe
Ku, Min
dc.subject.por.fl_str_mv Discrete Dirac operator
Discrete potential theory
Discrete Hilbert problem
Discrete Fourier transform
topic Discrete Dirac operator
Discrete potential theory
Discrete Hilbert problem
Discrete Fourier transform
description We study discrete Hilbert boundary value problems in the case of the upper half lattice. The solutions are given in terms of the discrete Cauchy transforms for the upper and lower half space while the study of their solvability is based on the discrete Hardy decomposition for the half lattice. Furthermore, the solutions are proved to converge to those of the associated continuous Hilbert boundary value problems.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-02T00:00:00Z
2015-11-02
2016-11-01T15:00:00Z
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/10773/15041
url http://hdl.handle.net/10773/15041
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1023-6198
10.1080/10236198.2015.1071804
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 Taylor and Francis
publisher.none.fl_str_mv Taylor and Francis
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
repository.mail.fl_str_mv
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