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Information × Registration Number 0304U004198, 0103U004224 , R & D reports Title Analytic and algebraic methods of studying of functional spaces, semigroups and stohastic laws popup.stage_title Дослідження майже періодичних дивізорів у трубчастій області; дослідження зв'язків між 0-комологіями напівгруп та когомологіями малих категорій Head Favorov S., Registration Date 26-03-2004 Organization Kharkov National University named after V.N.Karazin popup.description2 Object of the research are almost periodic holomorphic functions of many variables, indicators of special classes of analytic functions, cohomologies of semigroups, dinamic r-matrics, -polinomial coefficients, topological algebras, week-limit points. Goal of the research is the creation of new methods in complex analysis and algebra and their application in functional analysis and probability theory. Methods of the research are theoretical. During this work we obtain the complete description of divisors of almost periodic functions, we find necessary condition when the topological algebra belongs to the class I0, we prove that 0-cohomologies of semigroups are derived functor, we offer a new way of construction of classical non-dinamic r-matrix out of dinamic, we investigate indicators of generating functions of multi-positive sequences, we prove some new identities for -polinomial coefficients, we investigate properties of week-limit points in Banach space. All our results are new, they were approved on seminars and conferences in Kharkov, Kiev, Lviv, Tel-Aviv, Berlin, Hong Kong, Paris, Grenoble, St.-Petersburg. Predictive assumptions about evolution of object of research are various applications of the offered constructions and received methods to topology, differential equations, theory of probabilities, mathematical statistics, the algebraic theory of numbers, radiophysics, computer science etc. Product Description popup.authors popup.nrat_date 2020-04-02 Close