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...
Збережено в:
| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
|---|---|
| Дата: | 2008 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106494 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748774696222720 |
|---|---|
| author | Egorova, I. Michor, J. Teschl, G. |
| author_facet | Egorova, I. Michor, J. Teschl, G. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-12-07T20:56:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106494 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:56:50Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background Egorova, I. Michor, J. Teschl, G. |
| title | 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_short | Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background |
| title_sort | scattering theory for jacobi operators with general step-like quasiperiodic background |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106494 |
| work_keys_str_mv | AT egorovai scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground AT michorj scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground AT teschlg scatteringtheoryforjacobioperatorswithgeneralsteplikequasiperiodicbackground |