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Information × Registration Number 0213U002024, 0112U002701 , R & D reports Title Harmonic and spectral analysis of functions and operators, convolution equations and approximation of functions popup.stage_title Head Trigub Roald Mikhailovich, Registration Date 04-01-2013 Organization Donetsk National University popup.description2 Exact orders of approximation of periodic functions by non-classical polynomials are found. The values of parameters of the Askey's function, for which these functions are radial positive definite functions are calculated. The exact conditions of injectivity for the case of distorted convolution operators are found. Conditions for the validity of the hypothesis of K.Borsuk are obtained. Solutions of the truncated degenerate indefinite moment problem are described. Scattering matrices of unitary extensions of isometric operators in Pontryagin space are described. Spectral properties of Schrodinger operator and its relation with the radial positive definite functions is established. Completeness and minimality conditions of the system of eigenvectors and associated vectors of Dirac-type operators are obtained. Conditions for solutions of the Sturm - Liouville problem to approach zero are found. Product Description popup.authors Іванов Олександр Юрійович Агiбалова Анна Володимирівна Байдюк Дмитро Віталійович Волчков Віталій Володимирович Волчков Валерій Володимирович Деркач Володимир Олександрович Заставний Віктор Петрович Маламуд Марк Михайлович Нейман Єв-ген Вікторович Оридорога Леонід Леонідович Тригуб Роальд Михайлович popup.nrat_date 2020-04-02 Close