On the Abstract Inverse Scattering Problem for Trace Class Perturbations
The scattering problem for a pair of selfadjoint operators {L₀, L}, where L - L₀ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained.
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140563 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Abstract Inverse Scattering Problem for Trace Class Perturbations / R. Hatamleh, V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 3-34. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742650351779840 |
|---|---|
| author | Hatamleh, R. Zolotarev, V.A. |
| author_facet | Hatamleh, R. Zolotarev, V.A. |
| citation_txt | On the Abstract Inverse Scattering Problem for Trace Class Perturbations / R. Hatamleh, V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 3-34. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The scattering problem for a pair of selfadjoint operators {L₀, L}, where L - L₀ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained.
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| first_indexed | 2025-12-07T20:26:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140563 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:26:35Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Hatamleh, R. Zolotarev, V.A. 2018-07-10T17:00:00Z 2018-07-10T17:00:00Z 2017 On the Abstract Inverse Scattering Problem for Trace Class Perturbations / R. Hatamleh, V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 3-34. — Бібліогр.: 21 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag13.01.003 Mathematics Subject Classification 2000: 47A45 https://nasplib.isofts.kiev.ua/handle/123456789/140563 The scattering problem for a pair of selfadjoint operators {L₀, L}, where L - L₀ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Abstract Inverse Scattering Problem for Trace Class Perturbations Article published earlier |
| spellingShingle | On the Abstract Inverse Scattering Problem for Trace Class Perturbations Hatamleh, R. Zolotarev, V.A. |
| title | On the Abstract Inverse Scattering Problem for Trace Class Perturbations |
| title_full | On the Abstract Inverse Scattering Problem for Trace Class Perturbations |
| title_fullStr | On the Abstract Inverse Scattering Problem for Trace Class Perturbations |
| title_full_unstemmed | On the Abstract Inverse Scattering Problem for Trace Class Perturbations |
| title_short | On the Abstract Inverse Scattering Problem for Trace Class Perturbations |
| title_sort | on the abstract inverse scattering problem for trace class perturbations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140563 |
| work_keys_str_mv | AT hatamlehr ontheabstractinversescatteringproblemfortraceclassperturbations AT zolotarevva ontheabstractinversescatteringproblemfortraceclassperturbations |