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).

引用

页码：349 / 369

页数：21

共 12 条

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