Mathematics – Spectral Theory
Scientific paper
2007-07-31
J. d'Analyse Math. 106:1, 271-316 (2008)
Mathematics
Spectral Theory
34 pages
Scientific paper
10.1007/s11854-008-0050-4
We develop direct and inverse scattering theory for one-dimensional Schroedinger operators with steplike potentials which are asymptotically close to different finite-gap periodic potentials on different half-axes. 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 second moment.
de Monvel Anne Boutet
Egorova Iryna
Teschl Gerald
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