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Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds
Author(s):
Lizhen
Ji
Journal:
Trans. Amer. Math. Soc.
348
(1996),
2673-2688.
MSC (1991):
Primary 58G25;
Secondary 58C40
MathSciNet review:
1360224
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Abstract:
For degenerating sequences of three dimensional hyperbolic manifolds of finite volume, we prove convergence of their eigenfunctions, heat kernel and spectral measure.
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Additional Information:
Lizhen
Ji
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
Address at time of publication:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
lji@math.lsa.umich.edu
DOI:
10.1090/S0002-9947-96-01667-4
PII:
S 0002-9947(96)01667-4
Keywords:
Spectral convergence,
degenerating sequences,
hyperbolic manifolds
Received by editor(s):
April 11, 1995
Additional Notes:
Partially supported by NSF grant DMS 9306389 and NSF postdoctoral fellowship DMS 9407427.
Copyright of article:
Copyright
1996,
American Mathematical Society
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