The Plancherel transform, wavelets, coherent states and Wigner functions (Q2712175)

The Plancherel transform on a locally compact group is defined and an inversion formula is presented. The transform leads to an extension of the orthogonality relations for square-integrable representations to general unitary irreducible representations and provides a unifying perspective on the wavelet transform, general coherent state transforms, and Wigner functions.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00041].