Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems
The scattering scheme with many parameters for a commutative system of linear bounded operators {T1; T2}, when T1 is a contraction, is built. Using this construction of the scattering scheme, the translation model of the semigroup with two parameters T(n) = T1^n1 T2^n2 , n = (n1; n2) belongs Z+^2 is...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/7617 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Scattering scheme with many parameters and translational models of commutative operator systems / V.A. Zolotarev // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 4. — С. 424-447. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862611965446193152 |
|---|---|
| author | Zolotarev, V.A. |
| author_facet | Zolotarev, V.A. |
| citation_txt | Scattering scheme with many parameters and translational models of commutative operator systems / V.A. Zolotarev // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 4. — С. 424-447. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| description | The scattering scheme with many parameters for a commutative system of linear bounded operators {T1; T2}, when T1 is a contraction, is built. Using this construction of the scattering scheme, the translation model of the semigroup with two parameters T(n) = T1^n1 T2^n2 , n = (n1; n2) belongs Z+^2 is obtained. Description of characteristic properties of the dilation U of the contraction T1, that follows from the commutative property of the operators T1 and T2, in terms of external parameters lies in the basis of the method of the construction of the translational models for T(n).
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| first_indexed | 2025-11-29T03:06:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-7617 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-29T03:06:55Z |
| publishDate | 2007 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Zolotarev, V.A. 2010-04-06T09:37:27Z 2010-04-06T09:37:27Z 2007 Scattering scheme with many parameters and translational models of commutative operator systems / V.A. Zolotarev // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 4. — С. 424-447. — Бібліогр.: 8 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/7617 The scattering scheme with many parameters for a commutative system of linear bounded operators {T1; T2}, when T1 is a contraction, is built. Using this construction of the scattering scheme, the translation model of the semigroup with two parameters T(n) = T1^n1 T2^n2 , n = (n1; n2) belongs Z+^2 is obtained. Description of characteristic properties of the dilation U of the contraction T1, that follows from the commutative property of the operators T1 and T2, in terms of external parameters lies in the basis of the method of the construction of the translational models for T(n). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems Багатопараметрична схема розсіяння та трансляційна модель комутативної системи операторів Article published earlier |
| spellingShingle | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems Zolotarev, V.A. |
| title | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| title_alt | Багатопараметрична схема розсіяння та трансляційна модель комутативної системи операторів |
| title_full | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| title_fullStr | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| title_full_unstemmed | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| title_short | Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| title_sort | scattering scheme with many parameters and translational models of commutative operator systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/7617 |
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