Sample Paths in Wavelet Theory
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
We consider a class of convergence questions for infinite products that arise in wavelet theory when the wavelet filters are more singular than is traditionally built into the assumptions. We establish pointwise convergence properties for the absolute square of the scaling functions. Our proofs are based on probabilistic tools.
Keywords
Cite
@article{arxiv.math/0506465,
title = {Sample Paths in Wavelet Theory},
author = {Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0506465},
year = {2007}
}
Comments
26 pages, LaTeX2e "elsart" document class