1.

Record Nr.

UNINA9910480979703321

Autore

Dodziuk Józef <1947->

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1998]

©1998

ISBN

1-4704-0232-7

Descrizione fisica

1 online resource (90 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 643

Disciplina

510 s

516.9

Soggetti

Geometry, Hyperbolic

Hyperbolic spaces

Spectral theory (Mathematics)

Asymptotic expansions

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references (pages 73-75).

Nota di contenuto

""Contents""; ""Introduction""; ""Â1- Review of hyperbolic geometry""; ""Â2. Convergence of heat kernels""; ""Â3. Infinite cylinder estimates""; ""Â4. Heat kernels and regularized heat traces""; ""Â5. Degenerating heat traces""; ""Â6. Poisson kernel estimates""; ""Â7. Analysis of trace integrals""; ""Â8. Convergence of regularized heat traces""; ""Â9. Long time asymptotics""; ""Â10. Spectral zeta functions""; ""Â11- Selberg zeta functions""; ""Â12. Hurwitz- type zeta functions""; ""Â13. Asymptotics of spectral measures""; ""Â14. Eigenvalue counting problems""

""Â15. Convergence of spectral projections""""Bibliography""