New strips of convergence for Dirichlet series

In this article we study the interplay of the theory of classical Dirichlet series in one complex variable with recent development on monomial expansions of holomorphic functions in infinitely many variables. For a given Dirichlet series we obtain new strips of convergence in the complex plane relat...

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Detalles Bibliográficos
Autores: Defant, Andreas, Garcia, Domingo|||0000-0002-2193-3497, Maestre, Manuel|||0000-0001-5291-6705
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:57595
Acceso en línea:https://ddd.uab.cat/record/57595
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_05
Access Level:acceso abierto
Palabra clave:Dirichlet series
Power series
Polynomials
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spelling New strips of convergence for Dirichlet seriesDefant, AndreasGarcia, Domingo|||0000-0002-2193-3497Maestre, Manuel|||0000-0001-5291-6705Dirichlet seriesPower seriesPolynomialsIn this article we study the interplay of the theory of classical Dirichlet series in one complex variable with recent development on monomial expansions of holomorphic functions in infinitely many variables. For a given Dirichlet series we obtain new strips of convergence in the complex plane related to Bohr's classical strips of uniform but non absolute convergence. 22010-01-0120102010-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/57595https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_05reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:575952026-06-06T12:50:31Z
dc.title.none.fl_str_mv New strips of convergence for Dirichlet series
title New strips of convergence for Dirichlet series
spellingShingle New strips of convergence for Dirichlet series
Defant, Andreas
Dirichlet series
Power series
Polynomials
title_short New strips of convergence for Dirichlet series
title_full New strips of convergence for Dirichlet series
title_fullStr New strips of convergence for Dirichlet series
title_full_unstemmed New strips of convergence for Dirichlet series
title_sort New strips of convergence for Dirichlet series
dc.creator.none.fl_str_mv Defant, Andreas
Garcia, Domingo|||0000-0002-2193-3497
Maestre, Manuel|||0000-0001-5291-6705
author Defant, Andreas
author_facet Defant, Andreas
Garcia, Domingo|||0000-0002-2193-3497
Maestre, Manuel|||0000-0001-5291-6705
author_role author
author2 Garcia, Domingo|||0000-0002-2193-3497
Maestre, Manuel|||0000-0001-5291-6705
author2_role author
author
dc.subject.none.fl_str_mv Dirichlet series
Power series
Polynomials
topic Dirichlet series
Power series
Polynomials
description In this article we study the interplay of the theory of classical Dirichlet series in one complex variable with recent development on monomial expansions of holomorphic functions in infinitely many variables. For a given Dirichlet series we obtain new strips of convergence in the complex plane related to Bohr's classical strips of uniform but non absolute convergence.
publishDate 2010
dc.date.none.fl_str_mv 2
2010-01-01
2010
2010-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_05
url https://ddd.uab.cat/record/57595
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_05
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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