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math-phJan 27, 2007
11
citations (OpenAlex)
authors
  • Palle E. T. Jorgensen
  • Keri A. Kornelson
  • Karen L. Shuman
institutions
  • Grinnell College
  • University of Iowa
arXiv abstractPDF
paper

Harmonic analysis of iterated function systems with overlap

arXiv:math-ph/0701066 · doi:10.1063/1.2767004

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.

37 pages

References in corpus (8)

  • Iterated function systems, Ruelle operators, and invariant projective measures
  • Spectral triples for AF C*-algebras and metrics on the Cantor set
  • Construction of Parseval wavelets from redundant filter systems
  • Measures in wavelet decompositions
  • Hilbert spaces built on a similarity and on dynamical renormalization
  • A Stronger Subadditivity of Entropy
  • Iterated function systems, representations, and Hilbert space
  • Wavelet representations and Fock space on positive matrices

Cited by in corpus (4)

  • Essential selfadjointness of the graph-Laplacian
  • An Operator-Valued Kantorovich Metric on Complete Metric Spaces
  • A Positive Operator-Valued Measure for an Iterated Function System
  • Analysis of unbounded operators and random motion
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