Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
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Melrose_Analytic continuation.pdf
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534.24 KB
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Author(s)
Barreto, Antônio Sá
Vasy, András
Melrose, Richard B.
Date Issued
February 2014
Journal
Communications in Partial Differential Equations
Publisher
Taylor & Francis
Citation
Melrose, Richard, Antônio Sá Barreto, and András Vasy. “Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces.” Communications in Partial Differential Equations 39, no. 3 (February 10, 2014): 452–511.
Version
Original manuscript
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 Poincaré metric on hyperbolic space. As a result, we obtain non-trapping high energy estimates for this analytic continuation.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1080/03605302.2013.866957
