Search academic texts

Information × Registration Number 0305U003306, 0103U004224 , R & D reports Title Analytic and algebraic methods of studying of functional spaces, semigroups and stohastic laws popup.stage_title Вивчення вузьких операторів, динамічні r-матриці та однорідні простори; вивчення властивостей класу I0 Head Favorov S., Registration Date 09-03-2005 Organization Kharkov national university named after V.N. Karazin popup.description2 Object of research are almost periodic functions, multiple positive matrices, dynamic r-matrices, narrow operators, Stirling's numbers, structure of topological algebras. Goal of the work is to develop new methods in complex analysis and to applicate these methods to functional analysis and probability theory. Methods of investigation is theoretical. We investigation properties of subharmonic almost periodic functions, find necessary conditions for elements of some topological algebras to belong the class I0, obtain a description of quasipoisson structure, find new sufficient conditions of multiple positivity of infinite matrices, obtain a probabilistic description of Stirling's number of second genus, develop theory of narrow operators. Our result are new, they were tested during conferences and seminars in Kharkov, Kyiv, Lviv, Istanbul, Stockholm, Berlin, San-Paolo, St. Peterburg. Prognostic assumptions about developing of investigate object are find of applications of our constructions and methods to topology, differential equations, probability theory, mathematical statistics, algebraic theory of numbers, radiopfisics, informatics and so on. Almost periodic functions, topological algebras, Lie algebras, Stirling's numbers of second genus, multiple positive matrices, narrow operators. Product Description popup.authors popup.nrat_date 2020-04-02 Close