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The spectral theory of geometrically periodic hyperbolic $3$-manifolds
About this Title
Charles L. Epstein
Publication: Memoirs of the American Mathematical Society
Publication Year:
1985; Volume 58, Number 335
ISBNs: 978-0-8218-2336-1 (print); 978-1-4704-0748-3 (online)
DOI: https://doi.org/10.1090/memo/0335
MathSciNet review: 819178
MSC: Primary 58G25; Secondary 11F72, 11P21
Table of Contents
Chapters
- 1. Preliminaries
- 2. Floquet theory
- 3. The elliptic case
- 4. The parabolic case
- 5. Applications of the spectral theory
- Appendix 1. Hyperbolic manifolds and hyperbolic isometries
- Appendix 2. A uniform estimate for $K_\nu (z)$
- Appendix 3. The derivation of a Selberg trace formula