Hypercyclic and Chaotic Convolution Associated with the Jacobi–Dunkl Operator

被引：0
作者：
F. Chouchene
H. Mejjaoli
M. Mili
K. Trimèche
机构：
[1] Faculty of Sciences of Monastir,Department of Mathematics
[2] Taibah University,Department of Mathematics, College of Sciences
[3] CAMPUS,Faculty of Sciences of Tunis, Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2014年 / 11卷
关键词：
42A85; 44A35; 46E10; 46F12; 47A16; Jacobi–Dunkl operator; convolution; hypercyclic and chaotic operators;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we study the Jacobi–Dunkl convolution operators on some distribution spaces. We characterize the Jacobi–Dunkl convolution operators as those ones that commute with the Jacobi–Dunkl translations and with the Jacobi–Dunkl operators. Also we prove that the Jacobi–Dunkl convolution operators are hypercyclic and chaotic on the spaces under consideration and we give a universality property for the generalized heat equation associated with them.
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页码：577 / 600
页数：23
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