О многомерных лакунарных рядах Хартогса с лакунами Островского

This paper is devoted to multidimensional analogues of Ostrovsky’s theorem on lacunary series. The work examines the domains of existence of Hartogs lacunary series with Ostrovsky lacunae and series in homogeneous polynomials. Analogues of Ostrovsky’s theorem for such series are given and the domains of convergence of these series are described