2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98354We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.29 pagesSpectral Theory47B36, 81U40text