The direct theorem of the theory of approximation of harmonic functions is established in the case of functions defined on a compact set, the complement of which with respect to ℂ is a John domain.

The family of subalgebras that describe the space of complex-valued 2×2 matrices is selected. In this space, the stochastic semigroup Yn=XnXn−1...X1, n = 1,∞, is considered, where {Xi, і = 1,∞} are independent equally ...

We prove the general limit theorem on probability of large deviations of the logarithm of the likelihood ratio with the null hypothesis and alternative. Weaker versions of the principle of large deviations are obtained in ...

The article deals with the development of P. P. Kufaiev's method for finding unknown parameters in the Schwarz – Christoffel integral for a conformai mapping of polygonal domains in the case of boundary normalizations.

Upper and lower bounds are established for the rate of rational approximation of functions piecewise analytic on tangent continua. In some special cases, these bounds are coordinated depending on the mutual location of the ...

TheG-convergence of operators of the Neumann problem is established in regions with framework-type periodic structure with thin channels. A representation of the coefficients of aG-limiting operator is obtained.