Principal series and wavelets
Christopher A. Meaney · Project Euclid (Cornell University) · 2001
Recently Antoine and Vandergheynst $[1, 2]$ have produced continuous wavelet transforms on the n-sphere based on a principal series representation of $SO(n; 1)$. We present some of their calculations in a more general setting, from the point of view of Fourier analysis on compact groups and spherical function expansions.