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Information × Registration Number 0311U003707, 0109U001653 , R & D reports Title The analysis of Fourier and approximation of functions popup.stage_title Позитивно визначені функції. Head Trigub Roald Mikhailovich, Registration Date 31-05-2011 Organization Donetsk National University popup.description2 Principally new sufficient conditions for absolute convergence of the Fourier integrals are proved. Estimates for sums of absolute values of blocks of trigonometric Fourier series are obtained. Various problems which are connected with injectivity of integral transform on two-point homogeneous spaces are studied. New result concerning the Borsuk hypothesis in Euclidean spaces with other metric are obtained. Sufficient conditions for convergence of the diagonal Pade approximation for some classes of definitable functions with the unique rotation point are founded. Spectral problems for the Sturm-Liouville operator with pointable interaction are investigated. Completeness of the systems of proper and adjoined for one-order system is investigated. Product Description popup.authors Іванов Олександр Юрійович Байдюк Дмитро Віталійович Волчков Віталій Володимирович Волчков Валерій Володимирович Деркач Володимир Олександрович Заставний Віктор Петрович Маламуд Марк Михайлович Оридорога Леонід Леонідович Тригуб Роальд Михайлович popup.nrat_date 2020-04-02 Close