Time-dependent operators on some non-orientable projective orbifolds

Detalhes bibliográficos
Autor(a) principal: Krausshar, R. S.
Data de Publicação: 2015
Outros Autores: Rodrigues, M. M., Vieira, N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15057
Resumo: In this paper we present an explicit construction for the fundamental solution of the heat operator, the Schrödinger operator and related first order parabolic Dirac operators on a class of some conformally flat non-orientable orbifolds. More concretely, we treat a class of projective cylinders and tori where we can study parabolic monogenic sections with values in different pin bundles. We present integral representation formulas together with some elementary tools of harmonic analysis that enable us to solve boundary value problems on these orbifolds.
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spelling Time-dependent operators on some non-orientable projective orbifoldsClifford and harmonic analysisHeat operatorSchrodinger operatorParabolic Dirac operatorConformally flat orbifoldsSpin and pin structuresNon-orientable manifoldsIn this paper we present an explicit construction for the fundamental solution of the heat operator, the Schrödinger operator and related first order parabolic Dirac operators on a class of some conformally flat non-orientable orbifolds. More concretely, we treat a class of projective cylinders and tori where we can study parabolic monogenic sections with values in different pin bundles. We present integral representation formulas together with some elementary tools of harmonic analysis that enable us to solve boundary value problems on these orbifolds.Wiley2018-07-20T14:00:51Z2015-12-01T00:00:00Z2015-122016-11-30T10:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15057eng1099-147610.1002/mma.3492Krausshar, R. S.Rodrigues, M. M.Vieira, N.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:RCAAP2024-02-22T11:27:42Zoai:ria.ua.pt:10773/15057Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:28.664427Repositório 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 Time-dependent operators on some non-orientable projective orbifolds
title Time-dependent operators on some non-orientable projective orbifolds
spellingShingle Time-dependent operators on some non-orientable projective orbifolds
Krausshar, R. S.
Clifford and harmonic analysis
Heat operator
Schrodinger operator
Parabolic Dirac operator
Conformally flat orbifolds
Spin and pin structures
Non-orientable manifolds
title_short Time-dependent operators on some non-orientable projective orbifolds
title_full Time-dependent operators on some non-orientable projective orbifolds
title_fullStr Time-dependent operators on some non-orientable projective orbifolds
title_full_unstemmed Time-dependent operators on some non-orientable projective orbifolds
title_sort Time-dependent operators on some non-orientable projective orbifolds
author Krausshar, R. S.
author_facet Krausshar, R. S.
Rodrigues, M. M.
Vieira, N.
author_role author
author2 Rodrigues, M. M.
Vieira, N.
author2_role author
author
dc.contributor.author.fl_str_mv Krausshar, R. S.
Rodrigues, M. M.
Vieira, N.
dc.subject.por.fl_str_mv Clifford and harmonic analysis
Heat operator
Schrodinger operator
Parabolic Dirac operator
Conformally flat orbifolds
Spin and pin structures
Non-orientable manifolds
topic Clifford and harmonic analysis
Heat operator
Schrodinger operator
Parabolic Dirac operator
Conformally flat orbifolds
Spin and pin structures
Non-orientable manifolds
description In this paper we present an explicit construction for the fundamental solution of the heat operator, the Schrödinger operator and related first order parabolic Dirac operators on a class of some conformally flat non-orientable orbifolds. More concretely, we treat a class of projective cylinders and tori where we can study parabolic monogenic sections with values in different pin bundles. We present integral representation formulas together with some elementary tools of harmonic analysis that enable us to solve boundary value problems on these orbifolds.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01T00:00:00Z
2015-12
2016-11-30T10:00:00Z
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/10773/15057
url http://hdl.handle.net/10773/15057
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1099-1476
10.1002/mma.3492
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 Wiley
publisher.none.fl_str_mv Wiley
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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