Three results in Dunkl analysis
Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 299-312.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We first establish a geometric Paley–Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
DOI : 10.4064/cm118-1-16
Keywords: first establish geometric paley wiener theorem dunkl transform crystallographic obtain optimal bound norm dunkl translations dimension finally describe precisely support distribution associated dunkl translations higher dimension

Béchir Amri 1 ; Jean-Philippe Anker 2 ; Mohamed Sifi 3

1 Département de Mathématiques Institut Préparatoire aux Études d'Ingénieurs de Tunis (IPEIT) 1089 Montfleury Tunis, Tunisie
2 Laboratoire MAPMO (UMR 6628) Fédération Denis Poisson (FR 2964) Université d'Orléans & CNRS Bâtiment de Mathématiques, B.P. 6759 45067 Orléans Cedex 2, France
3 Département de Mathématiques Faculté des Sciences de Tunis Université de Tunis El Manar 2092 Tunis, Tunisie
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Béchir Amri; Jean-Philippe Anker; Mohamed Sifi. Three results in Dunkl analysis. Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 299-312. doi : 10.4064/cm118-1-16. http://geodesic.mathdoc.fr/articles/10.4064/cm118-1-16/

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