Three results in Dunkl theory
Classical Analysis and ODEs
2010-01-07 v2
Abstract
In this article, we establish first a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Keywords
Cite
@article{arxiv.0904.3608,
title = {Three results in Dunkl theory},
author = {Béchir Amri and Jean-Philippe Anker and Mohamed Sifi},
journal= {arXiv preprint arXiv:0904.3608},
year = {2010}
}