http://dspace.nbuv.gov.ua:80/handle/123456789/140534 Sun, 19 Apr 2026 01:58:47 GMT 2026-04-19T01:58:47Z http://dspace.nbuv.gov.ua:80/bitstream/id/418374/ http://dspace.nbuv.gov.ua:80/handle/123456789/140534 http://dspace.nbuv.gov.ua:80/handle/123456789/140555 Александр Андреевич Борисенко (к семидесятилетию со дня рождения) 24 мая 2016 года исполнилось 70 лет выдающемуся математику, члену-корреспонденту НАН Украины, доктору физико-математических наук, профессору Александру Андреевичу Борисенко. Fri, 01 Jan 2016 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/140555 2016-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/140554 Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions Nazarov, F.; Sodin, M. We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on the sphere or torus, and translation-invariant smooth Gaussian functions on the Euclidean space restricted to large domains. Fri, 01 Jan 2016 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/140554 2016-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/140553 New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Mustafayeva, Y.Y.; Aliyev, N.A. The solutions of a boundary problem with non-local boundary conditions for a three-dimensional Laplace equation are studied. Here, the boundary conditions are the most common and linear. Further, we note that the singular integrals appearing in the necessary conditions are multi-dimensional. Therefore, the regularization of these singularities is much more di±cult than the regularization of one-dimensional singular integrals. After the regularization of singularities the Fredholm property of the problem is proved. Fri, 01 Jan 2016 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/140553 2016-01-01T00:00:00Z