Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Ruelle operators: functions which are harmonic with respect to a transfer operator

About this Title

Palle E. T. Jorgensen

Publication: Memoirs of the American Mathematical Society
Publication Year: 2001; Volume 152, Number 720
ISBNs: 978-0-8218-2688-1 (print); 978-1-4704-0313-3 (online)
DOI: https://doi.org/10.1090/memo/0720
MathSciNet review: 1837681
MSC: Primary 46L10; Secondary 37C30, 42A16, 42A65, 43A65, 47B38

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

Table of Contents

Chapters

  • 1. Introduction
  • 2. A discrete $ax + b$ group
  • 3. Proof of Theorem 2.4
  • 4. Wavelet filters
  • 5. Cocycle equivalence of filter functions
  • 6. The transfer operator of Keane
  • 7. A representation theorem for $R$-harmonic functions
  • 8. Signed solutions to $R(f) = f$