Plancherel Inversion as Unified Approach to Wavelet Transforms and n Wigner functions

We demonstrate that the Plancherel transform for Type-I groups provides one nwith a natural, unified perspective for the generalized continuous wavelet ntransform, on the one hand, and for a class of Wigner functions, on the other. nThe wavelet transform of a signal is an L^2 -function on an appropriately nchosen group, while the Wigner function is defined on a coadjoint o..