2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68252Let $(M,g)$ 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 figuresAnalysis of PDEsDifferential Geometry58J50; 53C35; 35P25; 22E30text