Three results in Dunkl analysis

Béchir Amri; Jean-Philippe Anker; Mohamed Sifi

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 1, page 299-312
  • ISSN: 0010-1354

Abstract

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We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the L p 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.

How to cite

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Béchir Amri, Jean-Philippe Anker, and Mohamed Sifi. "Three results in Dunkl analysis." Colloquium Mathematicae 118.1 (2010): 299-312. <http://eudml.org/doc/284265>.

@article{BéchirAmri2010,
abstract = {We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^\{p\} → L^\{p\}$ norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.},
author = {Béchir Amri, Jean-Philippe Anker, Mohamed Sifi},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {299-312},
title = {Three results in Dunkl analysis},
url = {http://eudml.org/doc/284265},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Béchir Amri
AU - Jean-Philippe Anker
AU - Mohamed Sifi
TI - Three results in Dunkl analysis
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 299
EP - 312
AB - We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^{p} → L^{p}$ norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
LA - eng
UR - http://eudml.org/doc/284265
ER -

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