MATH Seminar
| Title: Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends |
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| Defense: Dissertation |
| Speaker: Pascal Philipp of Emory University |
| Contact: Pascal Philipp, pphilip@emory.edu |
| Date: 2014-06-03 at 10:00AM |
| Venue: MSC W301 |
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| 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. As part of this analysis, we derive asymptotic expansions of the modified Bessel functions of complex order. |
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