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Information × Registration Number 0309U000028, 0108U009055 , R & D reports Title Extreme problems of analysis , convolution equations and the mappings in the weakly flat domains popup.stage_title Дослідження мультиплікаторів Фур’є, проблеми Беренстейна-Гея про локальний варіант узагальненої теореми про два радіуса на ізотропних ріманових многовидах, компактності для відображень між областями зі слабо плоскими границями, повноти дотичних просторів, сильних середніх Бохнера-Ріса. Head Trigub Roald Mikhailovich, Registration Date 13-01-2009 Organization Donetsk National University popup.description2 A problem on the generalization of the classical Riemann-Lebesgue Lemma is investigated. The criterion, sufficient conditions and effective necessary ones are received. A generalized Euler-Maclaurin formula is obtained and the asymptotic of Mathieu's series is found. An upper bound of the norms is found for the strong integral means of the Bochner-Riesz sums. It is proved that the own functions of the Laplasa-Beltrami Operator can be characterized by zero integrals on spheres with special radiuses. A number of conditions of normality of families of the ring homeomorphisms are obtained. The concept of the tangent spaces in a point of a general metric space is entered. The criteria of the boundedness, compactness and finiteness of these tangent spaces are received. Product Description popup.authors popup.nrat_date 2020-04-02 Close