Wavelet constructions in non-linear dynamics
动力系统
2007-05-23 v1 泛函分析
摘要
We construct certain Hilbert spaces associated with a class of non-linear dynamical systems X. These are systems which arise from a generalized self-similarity, and an iterated substitution. We show that when a weight function W on X is given, then we may construct associated Hilbert spaces H(W) of L^2-martingales which have wavelet bases.
引用
@article{arxiv.math/0501145,
title = {Wavelet constructions in non-linear dynamics},
author = {Dorin Ervin Dutkay and Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0501145},
year = {2007}
}
备注
13 pages, LaTeX2e "amsart" document class