The Transmutation Operators Relating to a Dunkl Type Operator on and Their Positivity

被引：0
|
作者：
Trimeche, Khalifa [1 ]
机构：
[1] Univ Tunis El Manar Tunisia, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 02期
关键词：
Dunkl type operator on R-Jacobi-Dunkl operator on; R-Transmutation operators; DIFFERENTIAL-DIFFERENCE OPERATOR; INTERTWINING OPERATOR; REAL LINE;
D O I：
10.1007/s00009-014-0407-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove the positivity of the transmutation operators relating to a Dunkl type operator on the real line, and we deduce the positivity of the transmutation operators associated with the Jacobi-Dunkl operator on proved in Chouchane et al. (Anal Appl 1(4):387-412, 2003).
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页码：349 / 369
页数：21
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