Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background

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 invers...

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Published in:Журнал математической физики, анализа, геометрии
Date:2008
Main Authors: Egorova, I., Michor, J., Teschl, G.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106494
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine