Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
Abstract
Description
Let $(M,g)$ be a globally symmetric space of noncompact type, of arbitrary rank, and $Δ$ its Laplacian. We prove the existence of a meromorphic continuation of the resolvent $(Δ-\ev)^{-1}$ across the continuous spectrum to a Riemann surface multiply covering the plane. The methods are purely analytic and are adapted from quantum $N$-body scattering.
41 pages, 4 figures
41 pages, 4 figures