Compositionally universal entire functions on the plane and the punctured plane
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition operators that is universal on the punctured plane are provided. As a consequence, it is derived that only for translations and rotation-dilations there can be entire functions...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/87490 |
| Acceso en línea: | https://hdl.handle.net/11441/87490 https://doi.org/10.1007/s11785-012-0235-9 |
| Access Level: | acceso abierto |
| Palabra clave: | Universal entire functions Punctured plane Universal sequence of operators Hypercyclic functions Boundedness Frequent universality |
| Sumario: | Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition operators that is universal on the punctured plane are provided. As a consequence, it is derived that only for translations and rotation-dilations there can be entire functions whose orbits present universality. Boundedness of these functions on unbounded sets as well as frequent universality on the whole plane are also analyzed. |
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