COMMON HYPERCYCLIC FUNCTIONS FOR MULTIPLES OF CONVOLUTION AND NON-CONVOLUTION OPERATORS

被引：8

作者：

Bernal-Gonzalez, Luis ^{[1
]}

机构：

[1] Univ Seville, Dept Anal Matemat, Fac Matemat, E-41080 Seville, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 11期

关键词：

Hypercyclic operators; common hypercyclic vectors; entire functions; linear differential operators; Borel transform; VECTORS; GENERICITY; SUBSPACES; FAMILIES; PATH;

D O I：

10.1090/S0002-9939-09-09943-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every non-zero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients.

引用

页码：3787 / 3795

页数：9

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