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Jacobian Conjecture for Mappings of a Special Type in C²
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
We show that a polynomial mapping of the type (x!F[x+f(a(x)+b(y))]; y!G[y+g(c(x)+d(y))]), where
(a; b; c; d; f; g; F;G) are polynomials with non-zero Jacobian is a composition of no more than 3 linear or
triangular ...
Construction of Szeg˝o and Poisson Kernels in Convex Domains
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
In this paper, we construct Szeg˝o and Poisson kernels in convex domains in Cn and study their properties
Existence and Uniqueness of the Solution for Volterra-Fredholm Integro-Differential Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
In this article, modified Adomian decomposition method is successfully applies to find the approximate so-
lutions of Volterra-Fredholm integro-differential equations. Moreover, we prove the existence and unique-
ness ...
Coefficient Multipliers for the Privalov class in a Disk
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
We obtain exact estimates of the growth and the Taylor coefficients of analytic functions from the Privalov
classes in the unit disk. Also we describe coefficient multipliers from the Privalov classes into the Hardy
classes.
Self-assembly of Three Nanoparticles in Structures with a Predetermined Geometry Controlled by Quasiresonant Laser Fied
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
In the paper a dynamic model of self-assembly of nanoparticles under laser field is proposed for research
the possibility of a step-by-step assembly of a structure consisting of three particles with different form.
The ...
Decomposition of Functions of Finite Analytical Complexity
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
Functions of two variables can be obtained from functions of one variable by substitutions and additions.
Each composition scheme corresponds to a class of functions of two variables, such that they can be
represented ...
Optimal Formulas of Numerical Integration with Derivatives in Sobolev Space
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
The problem of construction of optimal quadrature formulas in the sense of Sard in the space L(m)
2 (0; 1)
is considered in the paper . The quadrature sum consists of values of the integrand at internal nodes and
values ...
Multidimensional Free Interpolation Framework for High-precision Modeling of Slant Total Electron Contents in Mid-latitude and Equatorial Regions
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
Standard models of ionospheric delays have errors of order 1–8 TECU (standard total electron content
units). On the basis of the free interpolation framework we propose a new simple model of the slant TEC
distributions ...
Theoretical Study of Atomic Structure of Solid Solution Al₁₋ ₓScₓNin
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
The features of atomic structure of Al₁₋ ₓScₓNin the whole Sc concentration were studied using ab initio
DFT approach. The possible segregation of AlN and ScN phases in a solid solution was investigated
and results were ...
Prym Differentials and Teichm¨uller Spaces
(Сибирский федеральный университет. Siberian Federal University, 2018-12)
In this article we study multiplicative meromorphic functions and differentials on Riemann surfaces of
finite type. We proved an analogue of P. Appell’s formula on decomposition of multiplicative functions
with poles of ...