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Information × Registration Number 0212U001131, 0111U000482 , R & D reports Title Geometric, topological and approximate problems of the theory of functions and mappings popup.stage_title Head Ryazanov Vladimir Illich, Registration Date 17-01-2012 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 On the basis of new developed methods, it was created the theory of variations, compactness, asymptotic homogeneity of solutions and the Dirichlet problems to the degenerate Beltrami equations with applications to one of the main equation of the mathematical physics; it was proved new theorems on the uniqueness of solutions for the convolution equation; it was obtained a series of new theorems on the continuous and homeomorphic extension to the boundary of mappings in the Orlich-Sobolev classes on smooth Riemann manifolds; it was obtained precise estimations of approximation of functions by generalized averages of Bochner-Riesz in the Hardy space; it was proved analogs of the Liouville theorem and the Schwarz lemma. Product Description popup.authors Волчков Валерій Володимирович Гутлянський Володимир Якович Довгоший Олексій Альфредович Ковтонюк Денис Олександрович Коломойцев Юрій Сергійович Кузнецова Ольга Іванівна Моторний Віталій Павлович Очаковська Оксана Олександрівна Салімов Руслан Радікович Севостьянов Євген Олександрович popup.nrat_date 2020-04-02 Close