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Harmonic analysis of iterated function systems with overlap

Mathematical Physics 2009-11-13 v1 Dynamical Systems math.MP

Abstract

In this paper we extend previous work on IFSs without overlap. Our method involves systems of operators generalizing the more familiar Cuntz relations from operator algebra theory, and from subband filter operators in signal processing.

Keywords

Cite

@article{arxiv.math-ph/0701066,
  title  = {Harmonic analysis of iterated function systems with overlap},
  author = {Palle E. T. Jorgensen and Keri A. Kornelson and Karen L. Shuman},
  journal= {arXiv preprint arXiv:math-ph/0701066},
  year   = {2009}
}

Comments

37 pages