Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Abstract

In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wavelet transform, we deduce the formulas which give the inverse operators of R a,dW and tR a,dW.

Keywords

• weinstein
• intertwining operator
• continuous wavelet transform
• primary 42b10
• 42b35
• secondary 42b35