Proceedings of the Centre for Mathematics and its Applications

Principal series and wavelets

Christopher Meaney

Full-text: Open access

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

Source
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

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


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