Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background
Репозиторій DSpace/Manakin
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Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background
Посилання:
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background / I. Egorova, J. Michor, G. Teschl // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 33-62. — Бібліогр.: 24 назв. — англ.
Підтримка:
I. Egorova and J. Michor gratefully acknowledge the extraordinary hospitality of the Faculty of Mathematics of the University of Vienna during their stay in 2007, where parts of this paper were written.
Дата:
2008
Переглядів:
707
Завантажень:
321
Анотація:
We develop direct and inverse scattering theory for Jacobi operators with step-like coeffcients which are asymptotically close to different finite-gap quasiperiodic coeffcients on di erent 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.
