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Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems

Vernadsky National Library of Ukraine

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Title Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems
 
Creator Zolotarev, V.A.
 
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).
 
Date 2010-04-06T09:37:27Z
2010-04-06T09:37:27Z
2007
 
Type Article
 
Identifier 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
 
Language en
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України