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Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy

Chen, Xi; Hassell, Andrew


This is the first in a series of papers in which we investigate the resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds with applications to the restriction theorem, spectral multiplier results and Strichartz estimates. In this first paper, we construct the high energy resolvent on general non-trapping asymptotically hyperbolic manifolds, using semiclassical Lagrangian distributions and semiclassical intersecting Lagrangian distributions, together with the...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Communications in Partial Differential Equations
DOI: 10.1080/03605302.2015.1116561


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