Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics

Detalhes bibliográficos
Autor(a) principal: Alpay, Daniel
Data de Publicação: 2017
Outros Autores: Cerejeiras, Paula, 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/10773/18243
Resumo: In this paper we present the building blocks for a function theory based on fractional Cauchy-Riemann operators. We are going to construct basic monogenic powers and Fueter series. With these tools we are going to study Gleason’s problem and reproducing kernel spaces, like the Drury- Arveson space and de Branges-Rovnyak spaces. We end with a statement on Schur multipliers in this setting.
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spelling Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topicsFractional Dirac operatorGleason's problemDrury-Arveson spaceIn this paper we present the building blocks for a function theory based on fractional Cauchy-Riemann operators. We are going to construct basic monogenic powers and Fueter series. With these tools we are going to study Gleason’s problem and reproducing kernel spaces, like the Drury- Arveson space and de Branges-Rovnyak spaces. We end with a statement on Schur multipliers in this setting.American Mathematical Society2018-07-20T14:01:01Z2017-05-30T00:00:00Z2017-05-302018-05-30T10:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18243eng0002-993910.1090/proc/13613Alpay, DanielCerejeiras, PaulaKähler, 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:RCAAP2024-02-22T11:34:41Zoai:ria.ua.pt:10773/18243Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:02.603007Repositório 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 Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
title Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
spellingShingle Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
Alpay, Daniel
Fractional Dirac operator
Gleason's problem
Drury-Arveson space
title_short Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
title_full Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
title_fullStr Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
title_full_unstemmed Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
title_sort Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
author Alpay, Daniel
author_facet Alpay, Daniel
Cerejeiras, Paula
Kähler, Uwe
author_role author
author2 Cerejeiras, Paula
Kähler, Uwe
author2_role author
author
dc.contributor.author.fl_str_mv Alpay, Daniel
Cerejeiras, Paula
Kähler, Uwe
dc.subject.por.fl_str_mv Fractional Dirac operator
Gleason's problem
Drury-Arveson space
topic Fractional Dirac operator
Gleason's problem
Drury-Arveson space
description In this paper we present the building blocks for a function theory based on fractional Cauchy-Riemann operators. We are going to construct basic monogenic powers and Fueter series. With these tools we are going to study Gleason’s problem and reproducing kernel spaces, like the Drury- Arveson space and de Branges-Rovnyak spaces. We end with a statement on Schur multipliers in this setting.
publishDate 2017
dc.date.none.fl_str_mv 2017-05-30T00:00:00Z
2017-05-30
2018-07-20T14:01:01Z
2018-05-30T10:00:00Z
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/10773/18243
url http://hdl.handle.net/10773/18243
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0002-9939
10.1090/proc/13613
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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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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