Hypercyclic Sequences of Differential and Antidifferential Operators |
| |
Authors: | Luis Bernal-Gonzlez |
| |
Institution: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Avenida Reina Mercedes, Apartado 1160, 41080, Sevilla, Spainf1 |
| |
Abstract: | 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 hyper- cyclicity 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. |
| |
Keywords: | hypercyclic operator hypercyclic sequence Fré chet space invariant linear manifold analytic function of several complex variables Runge domain infinite order differential and antidifferential operators zero-free function |
本文献已被 ScienceDirect 等数据库收录! |
|