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

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

2007-09-16

arxiv.org/abs/0709.2507v1

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

Mathematics

Spectral Theory

23 pages

Scientific paper

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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