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...
| Autores: | , , |
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| 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 |
| Sumario: | 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. |
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