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 |
|---|---|
| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Egorova, I. Michor, J. Teschl, G. 2016-09-29T17:12:38Z 2016-09-29T17:12:38Z 2008 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106494 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. 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| spellingShingle |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background Egorova, I. Michor, J. Teschl, G. |
| title_short |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| title_full |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| title_fullStr |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| title_full_unstemmed |
Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| title_sort |
scattering theory for jacobi operators with general step-like quasiperiodic background |
| author |
Egorova, I. Michor, J. Teschl, G. |
| author_facet |
Egorova, I. Michor, J. Teschl, G. |
| publishDate |
2008 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106494 |
| citation_txt |
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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AT egorovai scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground AT michorj scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground AT teschlg scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground |
| first_indexed |
2025-12-07T20:56:50Z |
| last_indexed |
2025-12-07T20:56:50Z |
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1850884500667498496 |