Compactly supported wavelets and representations of the Cuntz relations, II
Functional Analysis
2015-06-26 v1 Mathematical Physics
math.MP
Abstract
We show that compactly supported wavelets in L^2(R) of scale N may be effectively parameterized with a finite set of spin vectors in C^N, and conversely that every set of spin vectors corresponds to a wavelet. The characterization is given in terms of irreducible representations of orthogonality relations defined from multiresolution wavelet filters.
Cite
@article{arxiv.math/0006100,
title = {Compactly supported wavelets and representations of the Cuntz relations, II},
author = {Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0006100},
year = {2015}
}
Comments
10 or 11 pages, SPIE Technical Conference, Wavelet Applications in Signal and Image Processing VIII