Common hypercyclic functions for multiples of convolution and non-convolution operators
We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential op...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/87519 |
| Acceso en línea: | https://hdl.handle.net/11441/87519 https://doi.org/10.1090/S0002-9939-09-09943-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Hypercyclic operators Common hypercyclic vectors Entire functions Linear differential operators Borel transform |
| Sumario: | We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients. |
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