Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces

Details Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces

2011-03-17

arxiv.org/abs/1103.3507v1

Mathematics

Analysis of PDEs

46 pages, 4 figures

Scientific paper

In this paper we construct a parametrix for the high-energy asymptotics of
the analytic continuation of the resolvent on a Riemannian manifold which is a
small perturbation of the Poincar\'e metric on hyperbolic space. As a result,
we obtain non-trapping high energy estimates for this analytic continuation.

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