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Information × Registration Number 0200U003565, 0197U015780 , R & D reports Title Function spaces and theory of operators popup.stage_title Head Favorov S.Yu., Registration Date 08-06-2000 Organization Kharkov National University named after V.N. Karazin popup.description2 The objects of investigation are almost periodic functions and their zero sets, Daugavet inequality in Banach spaces, zero sets of entire, absolutely monotonic functions, semigroups of series in Legendre functions, Lie algebras, semigroup cohomology. The aim of the investigation is the elabotation of new methods in Complex Analysis and Algebra, and their applications to Functional Analysis and Theory of Probabilitie. The methods of these investigations are theoretical. During the work the link between almost periodic divisors and thezeroes of almost periodic functions is completely described, a classification of the Lagrange subalgebras of some Lie algebras is obtained, the link between Daugavet properties of linear spaces, their subspaces and factor-spaces isestablished, the influence of the invertible elements of modifications of the Galois group on the structure of the Brauer monoid is studied, properties of semigroups of series in Legendre functions and in Walsh fun ctions are described, entier functions having thefinite integral along the real axe are investigated, the zeroes of entire, absolutely monotonic functions in the right semiplane are described. The obtained results were reported on seminars and conferences in Kharkov, kiev, Sumy, Tel-Aviv, Geteborg, Warsaw, berlin, Augsburg. Following theresultsofthis work 16 papers and the monography are published and 4 papers submitted. Product Description popup.authors popup.nrat_date 2020-04-03 Close