Three results in Dunkl analysis

Béchir Amri, Jean-Philippe Anker, Mohamed Sifi

Type: Article

Publication Date: 2010-01-01

Citations: 32

DOI: https://doi.org/10.4064/cm118-1-16

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 $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.

Locations

Colloquium Mathematicum - View - PDF
arXiv (Cornell University) - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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