## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- National Research Symposium on Geometric Analysis and Applications. Alexander Isaev, Andrew Hassell, Alan McIntosh and Adam Sikora, eds. Proceedings of the Centre for Mathematics and its Applications, v. 39. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2001), 160 - 169

### Principal series and wavelets

#### 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

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416260680

**Mathematical Reviews number (MathSciNet)**

MR1852702

**Zentralblatt MATH identifier**

1125.43007

#### Citation

Meaney, Christopher. Principal series and wavelets. National Research Symposium on Geometric Analysis and Applications, 160--169, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2001. https://projecteuclid.org/euclid.pcma/1416260680