Limiting absorption principle on manifolds having ends with various measure growth rate limits (Q2848488)

The author studies the boundary values of the resolvent of the Laplace Beltrami operator on noncompact complete manifolds with ends. He considers a general situation where several types of ends may exist. Using assumptions on the mean curvature of each end, stated in term of lower bounds of the Hessian of the radial coordinate and of asymptotics of its Laplacian, he exhibits intervals where the limiting absorption principle holds and where the spectrum of the Laplacian is absolutely continuous.