Zh. Mat. Fiz. Anal. Geom. 4-1, 33-62 (2008) [url]

Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background

Iryna Egorova, Johanna Michor, and Gerald Teschl

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.

MSC2000: Primary 47B36, 81U40; Secondary 34L25, 39A11
Keywords: Inverse scattering, Jacobi operators, quasi-periodic, steplike

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