Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds

Ji, Lizhen

doi:10.1090/S0002-9947-96-01667-4

Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds
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Trans. Amer. Math. Soc. 348 (1996), 2673-2688 Request permission

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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