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

• Date: 2007
• Main Author: Zolotarev, V.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/7617
• 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.

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...