Positivity of the Jacobi-Cherednik intertwining operator and its dual

被引：31

作者：

Gallardo, Leonard ^{[1
]}

Trimeche, Khalifa ^{[2
]}

机构：

[1] Univ Tours, CNRS, Lab Math & Phys Theor, UMR 6083, Campus Grandmont, F-37200 Tours, France

[2] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2010年 / 1卷 / 02期

关键词：

Jacobi-Cherednik operator; intertwining operator; Laplace formula for the eigenfunctions; positivity of the intertwining kernel; intertwining dual operator;

D O I：

10.1515/APAM.2010.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the differential-difference Jacobi-Cherednik operator defined for f is an element of C-1(R) by T-(k,T- k') f(x) = f'(x) + (k coth(x) + k' tanh (x))(f(x) - f(-x)) - (k + k') f(-x), where k > 0 and k' >= 0 are two parameters, and to the positivity of the operator which intertwines T-(k,T- (k')) and the derivative operator d/dx.

引用

页码：163 / 194

页数：32

共 5 条

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