Spectral asymptotics on degenerating hyperbolic 3-manifolds

Spectral asymptotics on degenerating hyperbolic 3-manifolds / Józef Dodziuk, Jay Jorgenson.

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Bibliographic Details
Main Author: Dodziuk, Józef, 1947-
Other Authors: Jorgenson, Jay
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, ©1998.
Series:Memoirs of the American Mathematical Society ; no. 643.
Subjects:
Geometry, Hyperbolic.
Hyperbolic spaces.
Spectral theory (Mathematics)
Asymptotic expansions.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Asymptotic expansions
Geometry, Hyperbolic
Hyperbolic spaces
Online Access:Click for online access
Table of Contents:
  • 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.

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