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Spectral asymptotics on degenerating hyperbolic $3$-manifolds
About this Title
Józef Dodziuk and Jay Jorgenson
Publication: Memoirs of the American Mathematical Society
Publication Year:
1998; Volume 135, Number 643
ISBNs: 978-0-8218-0837-5 (print); 978-1-4704-0232-7 (online)
DOI: https://doi.org/10.1090/memo/0643
MathSciNet review: 1434990
MSC: Primary 58J37; Secondary 11F72, 11M36, 58J35, 58J50, 58J52
Table of Contents
Chapters
- Introduction
- 1. Review of hyperbolic geometry
- 2. Convergence of heat kernels
- 3. Infinite cylinder estimates
- 4. Heat kernels and regularized heat traces
- 5. Degenerating heat traces
- 6. Poisson kernel estimates
- 7. Analysis of trace integrals
- 8. Convergence of regularized heat traces
- 9. Long time asymptotics
- 10. Spectral zeta functions
- 11. Selberg zeta functions
- 12. Hurwitz-type zeta functions
- 13. Asymptotics of spectral measures
- 14. Eigenvalue counting problems
- 15. Convergence of spectral projections