Artículo
Hypercyclic sequences of differential and antidifferential operators
Autor/es | Bernal González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1999-02 |
Fecha de depósito | 2019-06-21 |
Publicado en |
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Resumen | In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions ... In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions a theorem about hypercyclicity of certain infinite order linear differential operators with constant coefficients and study the corresponding property for certain kinds of “antidifferential” operators which are introduced in the paper. In addition, the existence of hypercyclic functions for certain sequences of differential operators with additional properties, for instance, boundedness or with some nonvanishing derivatives, is established. |
Identificador del proyecto | PB96-1348 |
Cita | Bernal González, L. (1999). Hypercyclic sequences of differential and antidifferential operators. Journal of Approximation Theory, 96 (2), 323-337. |
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