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Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces

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 Poincaré metric on hyperbolic space. As a result, we obtain non-trapping high energy estimates for this analytic continuation.

preprint2011arXivOpen access
Richard MelroseAntônio Sá BarretoAndrás Vasy
math.AP
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Open access3 authors1 topic
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Richard MelroseAntônio Sá BarretoAndrás Vasy

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