Time-dependent operators on some non-orientable projective orbifolds
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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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1799137555077136384 |