Search academic texts

Information × Registration Number 0221U101114, 0120U100222 , R & D reports Title Topological-analytical methods in complex and hypercomplex analysis and their applications popup.stage_title Head Shpakivskyi Vitalii S., Registration Date 15-01-2021 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 In the work the approach for reception of rather effective estimations of a wide range of the functionalities investigated in problems on extremal partition of the complex plane is developed. And with the help of this approach, estimates of the products of inner radii of mutually non-intersecting domains with fixed poles of the corresponding quadratic differentials on (n, m) -radial systems of points of the complex plane are obtained. A constructive description of one class of mappings in some three-dimensional associative noncommutative algebra over a field of complex numbers using holomorphic functions of a complex variable is obtained. Lower estimates of the area of ​​the sphere image for homeomorphic mappings with respect to a nonconformal module in a multidimensional Euclidean space are established; the behavior at infinity of annular homeomorphisms with respect to a nonconformal module is investigated. The analytical properties of the mappings that arise in the problems of studying the effective conductivity of composite materials are proved. Estimates from above of errors of restoration of smooth functions of one variable on their perturbed Fourier coefficients are received. A complete asymptotic decomposition is found for the upper bound of the deviation of periodic functions from the class Lip1 a from their conjugate Abel-Poisson integrals, which makes it possible to write Kolmogorov-Nikolsky constants of arbitrary order. Product Description popup.authors Denega Iryna V. Klishchuk Bogdan A. Pozharska Kateryna V. Pukhtaievych Roman P popup.nrat_date 2021-01-15 Close