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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
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 $R(f) = f$