Unitary systems and wavelet sets
Functional Analysis
2007-05-23 v1
Abstract
We give a detailed description of the local commutant approach to wavelet theory using operator algebraic methods. We include a new result on interpolation pairs of wavelet sets: Every pair in the generalized Journe family of wavelet sets is an interpolation pair. In the last section, we give a discussion of several open problems on wavelets and frame-wavelets.
Cite
@article{arxiv.math/0604619,
title = {Unitary systems and wavelet sets},
author = {David R. Larson},
journal= {arXiv preprint arXiv:math/0604619},
year = {2007}
}
Comments
This is a semi-expository article which was written by the author for the proceedings of the 4th International Conference on Wavelet Analysis and its Applications, Macau, China, December 2005 [WAA2005], as a keynote speaker; 30p