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Information × Registration Number 0301U000654, 0100U003349 , R & D reports Title Spectral analysis, model representations of linear operators in Hilbert spaces and their usage in the theory of dynamical systems and the theory of differential equations popup.stage_title Побудова модельних зображень для алгебр Лі Sl (2,R) лінійних операторів . Спектральний розклад випадкових процесів, пов'язаних з рівнянням Рікатті. Інтерполяційні задачі та їх узагальнення. Проблеми моментів Стільт'єса Head Zolotar'ov V., Registration Date 19-04-2001 Organization Kharkov National University named after V.N.Karazin popup.description2 Object of research - functional models of bounded operators and studying of the class of operators which are close to normal . Purposes - constructing of wave operators for any bounded operator and their applications to functional models; studying of the class of hyponormal operators and close to such. Methods of research - functional analysis, theory of functions and theory of differential operators. The functional models of any bounded operators has been constructed. The functional model with the realization in Hardi class of functions in the ring has been obtained. The main concepts of the theory of operators which are close to normal have been given. For such classes of operators the main theorems have been proved. Product Description popup.authors popup.nrat_date 2020-04-02 Close