Harmonic analysis and dynamics for affine iterated function systems
Dynamical Systems
2008-08-14 v5
Abstract
We introduce a harmonic analysis for a class of affine iteration models in . Using Hilbert-space geometry, we develop a new duality notion for affine and contractive iterated function systems (IFSs) and we construct some identities for the Fourier transform of the measure corresponding to infinite Bernoulli convolutions.
Cite
@article{arxiv.math/0502277,
title = {Harmonic analysis and dynamics for affine iterated function systems},
author = {Dorin E. Dutkay and Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0502277},
year = {2008}
}
Comments
new version, we followed the comments of the referee and rewrote the introductory sections