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Spectral asymptotics on degenerating hyperbolic 3-manifolds / [electronic resource] J�ozef Dodziuk, Jay Jorgenson.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 643Publication details: Providence, R.I. : American Mathematical Society, c1998.Description: 1 online resource (viii, 75 p.)ISBN:
  • 9781470402327 (online)
Subject(s): Additional physical formats: Spectral asymptotics on degenerating hyperbolic 3-manifolds /DDC classification:
  • 510 s 516.9 21
LOC classification:
  • QA3 .A57 no. 643 QA685
Online resources:
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
Item type: E-BOOKS
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IMSc Library IMSc Library Link to resource Available EBK13096

"September 1998, volume 135, number 643 (third of 5 numbers)."

Includes bibliographical references (p. 73-75).

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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