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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| Видавець: | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/7617 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-7617 |
|---|---|
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dspace |
| spelling |
irk-123456789-76172010-04-07T12:01:02Z Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems Zolotarev, V.A. 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). 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/7617 en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Zolotarev, V.A. |
| spellingShingle |
Zolotarev, V.A. Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems |
| author_facet |
Zolotarev, V.A. |
| author_sort |
Zolotarev, V.A. |
| title |
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_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_sort |
scattering scheme with many parameters and translational models of commutative operator systems |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/7617 |
| 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. |
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2023-10-18T16:37:57Z |
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2023-10-18T16:37:57Z |
| _version_ |
1796139486964350976 |