05-210 Iryna Egorova, Johanna Michor, and Gerald Teschl

Scattering Theory for Jacobi Operators with Quasi-Periodic Background (83K, LaTeX) Jun 14, 05

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 05-210.src( 05-210.keywords , QpScatJac.tex )