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Information × Registration Number 0308U003060, 0106U003141 , R & D reports Title Algebraic and analytic methods of investigation of groups, classes of functions, operators and related objects popup.stage_title Нульові множини деяких класів голоморфних функцій. Гаусовські ділянки опуклих комбінацій ермітово позитивних йункцій Head Favorov U., Доктор фізико-математичних наук Registration Date 26-02-2008 Organization Kharkov National University named after V.N.Karazin popup.description2 The report about SRW: 22 p., 20 sources. The object of researches includes holomorphic functions of the exponential growth, property of unit spheres in Banach algebras, generalized Daugavet property, Gaussian divisors of Hermitian positive functions, arithmetic of semigroups of series, Moufang groupoids. The purpose of the work is the development of new methods in the complex analysis and algebra and applying these methods to the functional analysis, theory of probabilities and mathematical statistics. Methods of research - theoretical. While doing the work the exact description of zero sets of known classes of entire functions of exponential growth have been found; the complete description of Gaussian divisors of convex linear combinations of Hermitian positive functions has been given; the class of functions on semigroup MP which have no simple and non-degenerate idempotent divisors has been obtained; the ability of transferring the Daugavet property from Banach space to its factorspace has been investigated; the modulus of convexity of unit spheres in 2-dimensional Banach algebras has been investigated; the decomposition of commutative Moufang groupoids into a semilattice has been proved. The results obtained are new, they were approved at seminars and conferences in Kharkov, Kiev, Lvov, Odessa, Kam'yanec-Podolskiy, Lugansk, Воссе (Norway), Istanbul, Vroclaw, St.-Petersburg, Palo Alto (California). The expectations about development of research object are: the search of applications of the suggested constructions and methods obtained to topology, differential equations, probability theory, mathematical statistics, radiophysics, computer science etc. HOLOMORPHIC FUNCTION, HERMITIAN POSITIVE FUNCTIONS, MODULE OF CONVEX, DAUGAVET PROPERTY, SEMIGROUPS OF SERIES, MOUFANG GROUPOIDS. Conditions of the report reception: under the contract. 61077,. Kharkov - 77, Svobodi sq., 4, KNU. Product Description popup.authors popup.nrat_date 2020-04-02 Close