Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual

These operators are very important inmathematics and physics. They allow the development of generalized wavelets from generalized continuous classical wavelet analysis. Moreover, we have proved in [2] that the generalized two-scale equation associated with the Dunkl operator has a solution and then we can define continuous multiresolution analysis. Dunkl has proved in [1] that there exists a unique isomorphism Vα, called the Dunkl intertwining operator, from the space of polynomials on R of degree n onto itself, satisfying the transmutation relation