The differentiation operator in the space of unifornly convergent Dirichlet series
[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes {s is an element of C vertical bar Re s > epsilon} for each epsilon &a...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/172309 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/172309 |
| Access Level: | acceso abierto |
| Palabra clave: | Abscissas of convergence Differentiation operator Fréchet space Integration operator Spaces of Dirichlet series MATEMATICA APLICADA |
| Sumario: | [EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes {s is an element of C vertical bar Re s > epsilon} for each epsilon > 0. The properties of the formal inverse of the differentiation are also investigated. |
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