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Information × Registration Number 0212U002634, 0109U001653 , R & D reports Title The analysis of Fourier and approximation of functions popup.stage_title Head Trigub Roald Mikhailovich, Registration Date 16-01-2012 Organization Donetsk National University popup.description2 The exact order of approximation by nonclassical methods of summation of Fourier series is found. Problems of spectral analysis and spectral synthesis for mean periodic functions on the phase space of the Heisenberg group are solved. New theorems about the restoration of the Pompeiu local transformation are obtained. Christoffel and Geronimis transforms for an arbitrary Jacobi matrices and constructed and their properties are investigated. The connection between boundedness of the Darboux transform with the convergence of Pade approximants for the corresponding Stieltjes functions is found. Configurations of points are constructed, such that all realisations of three-dimensional Schrodinger operator have absolutely continuous nonnegative spectrum. A description of scattering matrices of unitary extensions of isometric operators in a Pontryagin space is found. Product Description popup.authors Байдюк Дмитро Віталійович Волчков Віталій Володимирович Волчков Валерій Володимирович Деркач Володимир Олександрович Заставний Віктор Петрович Маламуд Марк Михайлович Тригуб Роальд Михайлович Трофименко Ольга Дмитрівна popup.nrat_date 2020-04-02 Close