Three results in Dunkl analysis

• Autorzy: Béchir Amri , Jean-Philippe Anker , Mohamed Sifi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A32: Other transforms and operators of Fourier type
• 33C52: Orthogonal polynomials and functions associated with root systems
• 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 33C80: Connections with groups and algebras, and related topics
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 118
• Numer: 1
• Strony: 299-312

Daty

wydano

2010

Twórcy

autor

Béchir Amri

• Département de Mathématiques, Institut Préparatoire, aux Études d'Ingénieurs de Tunis (IPEIT), 1089 Montfleury Tunis, Tunisie

autor

Jean-Philippe Anker

• Laboratoire MAPMO (UMR 6628), Fédération Denis Poisson (FR 2964), Université d'Orléans & CNRS Bâtiment de Mathématiques, B.P. 6759, 45067 Orléans Cedex 2, France

autor

Mohamed Sifi

• Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 Tunis, Tunisie

Identyfikatory

DOI

10.4064/cm118-1-16