Uniform Estimates of the Resolvent of the Laplace-Beltrami Operator On Infinite Volume Riemannian Manifolds. II

摘要

We prove uniform weighted high frequency estimates for the resolvent of the Laplace-Beltrami operator on connected infinite volume Riemannian manifolds under some natural assumptions on the metric on the ends of the manifold. This extends previous results by Burq [3] and Vodev [8].