Sample Paths in Wavelet Theory
经典分析与常微分方程
2007-05-23 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/0506465,
title = {Sample Paths in Wavelet Theory},
author = {Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0506465},
year = {2007}
}
备注
26 pages, LaTeX2e "elsart" document class