Mathematics – Spectral Theory
Scientific paper
2012-01-27
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 allows unique solvability of the
inverse scattering problem for perturbations with finite second moment.
Egorova Iryna
Michor Johanna
Teschl Gerald
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