Wavelets for iterated function systems
arXiv:0910.0609 · doi:10.1016/j.jfa.2010.04.014
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.
17 pages, 3 figures