Wavelets for iterated function systems
Functional Analysis
2010-06-30 v1
Abstract
We construct a wavelet and a generalised Fourier basis with respect to some fractal measures given by one-dimensional iterated function systems. In this paper we will not assume that these systems are given by linear contractions generalising in this way some previous work of Jorgensen and Dutkay to the non-linear setting.
Cite
@article{arxiv.0910.0609,
title = {Wavelets for iterated function systems},
author = {Jana Bohnstengel and Marc Kesseböhmer},
journal= {arXiv preprint arXiv:0910.0609},
year = {2010}
}
Comments
17 pages, 3 figures