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Information × Registration Number 0311U003285, 0106U002558 , R & D reports Title Dynamical systems and spectral theory of differential and difference operators popup.stage_title Матрична задача Рімана-Гільберта. Діаграми Браттелі. Head Kotlyarov Volodymyr Petrovych; Marchenko Volodymyr Olexandrovych, Registration Date 25-02-2011 Organization B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Science of Ukraine popup.description2 An asymptotics at long time for harmonically perturbed nonlinear oscillations in integrable model of the stimulated Raman scattering is found. Characteristic properties of the scattering data for the Shroedinger operator on the axis with triangular 2х2 matrix potential are obtained. Type III factor-representations for infinite symmetric group are constructed, which appear to be natural deformations of the Thomas representations. A family q-difference commuting operators is constructed and their common eigenfunctions, the q-Jacobi polynomials, are found. Measures on spaces of infinite paths for non-simple stationary Bratteli diagrams are investigated. A description for the structure of orbit closures for the crossed product associated to a cocycle is given. A description for the GNS-factor-representations of infinite symmetric group which correspond to positively defined functions is presented. A description and classification for structures of Uqsl2-module algebra on a quantum plane is obtained. Product Description popup.authors Єгорова І. Є. Андерс І.А. Безуглий С. І. Берштейн О. О. Бойко М.С. Кудрявцев М. О. Кулагін В. М. Мединець К.С. Московченко О.О. Нессонов М. І. Рофе-Бекетов Ф. С. Синельщиков С. Д. Шепельський Д. Г. popup.nrat_date 2020-04-02 Close