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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: http://dx.doi.org/10.1090/memo/0335
MathSciNet review: 819178
MSC (1991): Primary 58G25; Secondary 11F72, 11P21

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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

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