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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Spectral Convergence for
Degenerating Sequences of
Three Dimensional Hyperbolic Manifolds


Author: 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: http://dx.doi.org/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.
Article copyright: © Copyright 1996 American Mathematical Society



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