Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

In this paper, we consider the Weinstein intertwining operator ℜ^{a, d}_W and its dual ^tR ^a,d_W. 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,d_W and ^tR ^a,d_W.