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Information × Registration Number 0201U003680, 0100U003351 , R & D reports Title Some questions of calculus popup.stage_title Head Gryshyn A.P., Registration Date 04-04-2001 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of research - subgarmonic functions; contractive holomorphic operator's functions; dense embeddings of discrete groups; nonsingular actions of Abelian groups. Purposes - we go on to constract the general theory of subharmonic functions in a complex haif- plane; to give the procedure of the decomposition of a Hellinger space into an ortogonal sum of its subspaces and to give the descriptions of the corresponding measure; to study dense embeddings of discrete groups into locally compact groups and to constract the nonsingular fanny rank-one free actions of countable Abelian groups on the space with an infinite invariant measure. Methods of research - the functions theory, the theory of operators, the functional analysis and the ergodic theory. Results of reserch are applyed to the study of properties of subharmonic functions in a complex half-plane, properties of Hellinger space, to the descriptions of groups of ergo dic transformations, to the study of dense subgroups of locally compact groups. Product Description popup.authors popup.nrat_date 2020-04-02 Close