Iryna Egorova, Johanna Michor, and Gerald Teschl
Scattering Theory for Jacobi Operators with Quasi-Periodic Background
(83K, LaTeX)

ABSTRACT.  We 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.