Artículo
Compositionally universal entire functions on the plane and the punctured plane
Autor/es | Bernal González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2013-06 |
Fecha de depósito | 2019-06-18 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | FQM-127
MTM2009-10696-C02-01 MTM2007-30904-E |
Cita | Bernal González, L. (2013). Compositionally universal entire functions on the plane and the punctured plane. Complex Analysis and Operator Theory, 7 (3), 577-592. |
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