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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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2008 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106494 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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.
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| ISSN: | 1812-9471 |