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Information × Registration Number 0220U100865, 0116U003126 , R & D reports Title Methods of functional analysis in problems of modern mathematical physics popup.stage_title Head Ostrovskyi Vasyl L., Доктор фізико-математичних наук Registration Date 29-01-2020 Organization The Institute of Mathematics of NASU popup.description2 The aim of the project is to develop important modern areas of functional analysis, spectral theory of operators, and representations of involutive algebras, accomodated to the study of the corresponding models of modern mathematical physics. During the research, methods of spectral theory of operators and collections of operators, theory of non-linear equations, representation theory of involutive algebras were used. New results are obtained in functional analysis and its applications, in particular, in direct and inverse problems of operator theory, about structure and properties of collections of subspaces in a Hilbert and Banach spaces, representations of operator relations, harmonic analysis on hypergroups, in problems of infinite-dimensional analysis related to stochastic analysis. The obtained results can be applied to the further development related to the topics of the project, and also in the study of models of mathematical physics, tomography, frame theory, quantum information theory etc. Product Description popup.authors Berezansky Yuri M. Kalyuzhnyi Oleksandr O. Kachanovsky Mykola O. Nizhnik Leonid P. Popova Natalia D. Rabanovych Viacheslav I. Samoilenko Yurii S. Strilets' Oleksandr V. Feshchenko Ivan S. Yakymenko Danylo Yu. popup.nrat_date 2020-04-02 Close