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Information × Registration Number 0210U001246, 0108U009055 , R & D reports Title Extreme problems of analysis , convolution equations and the mappings in the weakly flat domains popup.stage_title Head Trigub Roald Mikhailovich, Registration Date 29-01-2010 Organization Donetsk National University popup.description2 New sufficient conditions of expansion of functions in the absolutely converging Fourier integral of are obtained. The new class of positive definite matrix functions is obtained. The necessary and sufficient conditions of integrability are found multiple trigonometrical series with power types. The problem of optimum restoration in information which contains values of functions in the set points (knots) and values of gradients to these points is solved. Theorems on inequalities of normative type for maps with the generalized transmutation property are obtained. It is proved, that equation Beltrami with two characteristics has a regular gomeomorphic solution if the dilatation of this equation has a majorant of final average oscillation. It is proved, that non-negative quasi-nearly subharmonic functions can be described with the help of integrated average over balls with radiuses belonging to the special sets. Product Description popup.authors Бабенко В'ячеслав Федорович Волчков Віталій Володимирович Волчков Валерій Володимирович Довгоший Олексій Альфредович Заставний Віктор Петрович Кузнецова Ольга Іванівна Моторний Віталій Павлович Рязанов Володимир Ілліч Скороходов Дмитро Сергійович Тригуб Роальд Михайлович popup.nrat_date 2020-04-02 Close