Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces
Analysis of PDEs
2015-03-19 v1
Abstract
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.
Cite
@article{arxiv.1103.3507,
title = {Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces},
author = {Richard Melrose and Antônio Sá Barreto and András Vasy},
journal= {arXiv preprint arXiv:1103.3507},
year = {2015}
}
Comments
46 pages, 4 figures