Wavelets for iterated function systems

Details Wavelets for iterated function systems Wavelets for iterated function systems

2009-10-04

arxiv.org/abs/0910.0609v1

Journal of Functional Analysis 259 (2010), 583-601, no 3

Mathematics

Functional Analysis

17 pages, 3 figures

Scientific paper

10.1016/j.jfa.2010.04.014

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.

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