Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

preprint2013arXivOpen access

Abstract

We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped product type. Our main result is an upper bound on the resonance counting function with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base manifold defining the ends.

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