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Information × Registration Number 0213U002713, 0110U002257 , R & D reports Title de Branges spaces in spectral theory of nonself - adjont operators and other problems of analysis popup.stage_title Head Gubreev Gennady Michailovich, Registration Date 05-02-2013 Organization Polava National Technical University named in the honour of Yuri Kondratyuk popup.description2 Subject of research is non-dissipative operators with discrete spectrum, and in addition, systems of operators in Hilbert spaces satisfying some commutative conditions. The purpose of the research is connected with search for new applications of classical and generalized de Brange spaces to the solution of a range of problems of modern Calculus. Method of research is based on building functional models of operators and systems of operators in de Brange spaces. Methods of integral estimates for norms of resolvents, technique of matrix Makenkhaupt's weights, etc are also used. As a result of the research there have been solved the following problems: functional models of non-dissipative operators with discrete spectrum and systems of operators were constructed; generalized de Brange spaces on Riemann surfaces were defined; functional models in classical de Brange spaces were investigated; description of abstract operators, which are similar to model operators in de Brange spaces was derived; the functional models of self-adjoint operators satisfying some commutative conditions were obtained. The obtained results are new and can be used by specialists in Functional Analysis. Moreover, they can be the basis for special courses for students with majors in Mathematics. Product Description popup.authors Губреєв Геннадій Михайлович Долгополова Марина Володимирівна Золотарьов Володимир Олексійович Лукашенко Галина Вікторівна Недобачій Станіслав Іванович popup.nrat_date 2020-04-02 Close