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.
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页码：3787 / 3795
页数：9
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