## Proceedings of the Centre for Mathematics and its Applications

### Principal series and wavelets

Christopher Meaney

#### Abstract

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.

#### Article information

Dates
First available in Project Euclid: 17 November 2014