Registration Number
0213U002024,
0112U002701
, R & D reports
Title
Harmonic and spectral analysis of functions and operators, convolution equations and approximation of functions
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Head
Trigub Roald Mikhailovich,
Registration Date
04-01-2013
Organization
Donetsk National University
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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
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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
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2020-04-02
