International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5-8, Pages 285-293
doi:10.1155/S0161171204212285
Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual
Abdellatif Jouini
Department of Mathematics, Faculty of Sciences, University of Tunis II, Tunis 1060, Tunisia
Abstract
We define and study Dunkl wavelets and the corresponding Dunkl wavelets transforms, and we prove for these transforms Plancherel and reconstruction formulas. We give as application the inversion of the Dunkl intertwining operator and its dual.