2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60224We develop the scattering theory of general conformally compact metrics. For low frequencies, the domain of the scattering matrix is shown to be frequency dependent. In particular, generalized eigenfunctions exhibit L^2 decay in directions where the asymptotic curvature is sufficiently negative. The scattering matrix is shown to be a pseudodifferential operator. For generic frequency in this part of the continuous spectrum, we give an explicit construction of the resolvent kernel.AMS-LaTeX, 43 pages, 5 figuresSpectral TheoryDifferential GeometryFunctional Analysistext