inversion of the Generalized Dunkl Intertwining Operator on R and its Dual Using Generalized Wavelets

W. Chabeh, Mohamed Ali Mourou

Abstract

We establish an inversion formula for a continuous wavelet transform associated with a class of singular differential-difference operators on R. We apply this result to derive new expressions for the inverse generalized Dunkl intertwining operator and its dual on R.

Keywords

differential-difference operator, generalized Dunkl intertwining operator, generalized continuous wavelet transform.

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