- 07-211 Iryna Egorova, Johanna Michor, and Gerald Teschl
- Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background
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.