Hypercyclic and chaotic convolution operators associated with the Dunkl operator on C

被引：15
作者：
Betancor, JJ [1 ]
Sifi, A
Trimèche, K
机构：
[1] Univ La Laguna, Dept Math Anal, Tenerife 38271, Islas Canarias, Spain
[2] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
来源：
ACTA MATHEMATICA HUNGARICA | 2005年 / 106卷 / 1-2期
关键词：
Dunkl transforms; convolution; entire functions; hypercyclic and chaotic operators;
D O I：
10.1007/s10474-005-0009-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the harmonic analysis associated with the Dunkl operator on C and analyze the hypercyclicity and chaos of Dunkl convolution operators on the space of entire functions on C.
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页码：101 / 116
页数：16
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