Information × Registration Number 0201U003682, 0100U003348 , R & D reports Title Functional spaces and semigroups popup.stage_title Head Favorov S.Yu., Registration Date 04-04-2001 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of investigation are zero sets of entire, absolutely monotonic functions, semigroups of series in Walsh functions, Lie algebras, separative semigroups, generalized polinomials of Bernstein. The aim of the investigation is the elaboration of new methods in Complex Analysis and Algebra, their applications to Functional Analysis and Theory of Probabilitie. The methods of these investigations are theoretical. During the work the family of semilattice decompositions of weakly separative semigroups is completely described, link between almost periodic divisors and thezeroes of almost periodic functions is completely described, some properties of Lagrange subalgebras of Lie algebras are obtained, properties of semigroups of series in Walsh functions are described, the zeroes of entire, absolutely monotonic functions having empty intersection with a special tangle are described, a new class of generalized polynomials of Bernstein is pr oposed and studied. The obtained results were reported on seminars and conferences. Product Description popup.authors popup.nrat_date 2020-04-02 Close