ID | 53925 |
FullText URL | |
Author |
TRIMÈCHE, Khalifa
|
Abstract | We consider the transmutation operators Vk, tVk and V W k , tV W k associated respectively with the Cherednik operators and the Heckman-Opdam theory attached to the root system BC2, called also in [8, 9, 10] the trigonometric Dunkl intertwining operators, and their dual. In this paper we prove that the operators Vk, tVk and VWk , tVWk are positivity preserving and allows positive integral representations. In particular we deduce that the Opdam-Cherednik and the Heckman-Opdam kernels are positive definite.
|
Keywords | Cherednik operators-Root system of type BC2
Transmutation operators
The trigonometric Dunkl intertwining operator and its dual
|
Published Date | 2016-01
|
Publication Title |
Mathematical Journal of Okayama University
|
Volume | volume58
|
Issue | issue1
|
Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
Start Page | 183
|
End Page | 198
|
ISSN | 0030-1566
|
NCID | AA00723502
|
Content Type |
Journal Article
|
language |
English
|
Copyright Holders | Copyright©2016 by the Editorial Board of Mathematical Journal of Okayama University
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol58/iss1/10
|
JaLCDOI |