Department of Mathematics, Faculty of Sciences of Tunis, Campus universitaire, 1060 Tunis, Tunisia.
*E-mail address: m.dachraoui@planet.tn
AMS Subject Classification: 44A15, 42A38.
Using the harmonic analysis associated with the product Dunkl operators, we define and study the Weyl-Dunkl transforms Wσ where σ is a symbol in Sm, m ∈ RI, and we give criteria in terms of σ to obtain the boundedness and compacteness of the transform Wσ.
Dunkl operator, Dunkl transform, Wigner-Dunkl transform, Weyl-Dunkl transform
