Artículo
Exponential type of hypercyclic entire functions
Autor/es | Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2002-04 |
Fecha de depósito | 2019-06-18 |
Publicado en |
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Resumen | In this paper the exponential type of hypercyclic entire functions with respect to a
sequence (Φn(D)) of differential operators is considered, where every Φn is an entire
function of exponential type. We prove that under ... In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential operators is considered, where every Φn is an entire function of exponential type. We prove that under suitable conditions certain rates of growth are possible for hypercyclicity while others are not. In particular, our statements extend the negative part of a sharp result on growth of D-hypercyclic entire functions due to Grosse-Erdmann, and are related to a result by Chan and Shapiro about the existence of Φ(D)-hypercyclic functions in certain Hilbert spaces of entire functions. |
Identificador del proyecto | PB96–1348
PB98-0444 |
Cita | Bernal González, L. y Bonilla Ramírez, A.L. (2002). Exponential type of hypercyclic entire functions. Archiv der Mathematik, 78 (4), 283-290. |
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