07-211 Iryna Egorova, Johanna Michor, and Gerald Teschl

Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background (72K, LaTeX2e) Sep 16, 07

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Abstract. We develop direct and inverse scattering theory for Jacobi operators with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite first moment.

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