ГАРМОНИЧЕСКИЙ АНАЛИЗ ДАНКЛЯ И НЕКОТОРЫЕ ЗАДАЧИ ТЕОРИИ ПРИБЛИЖЕНИЙ ФУНКЦИЙ. II
Journal Title: Проблемы анализа-Issues of Analysis - Year 2006, Vol 13, Issue
Abstract
Using generalized translations of Dunkl we define Nikolskii - Besov type function spaces and obtain their description in terms of the best approximations.
Authors and Affiliations
Е. С. БЕЛКИНА
MONOTONICITY AND CONVEXITY PROPERTIES OF THE NIELSEN’S β-FUNCTION
The Nielsen’s β-function provides a powerful tool for evaluating and estimating certain integrals, series and mathematical constants. It is related to other special functions such as the digamma function, the Euler’s bet...
The method of normal local stabilization
A problem of nonlinear systems stabilization is studied. Admissible controls are piecewise constant. The notion of normal local stabilizability is proposed. A point P (not necessary equilibrium) is normally locally stabi...
The approximate conformal mapping onto multiply connected domains
The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with N circular slits or an annulus with...
ОБ ОБЛАСТЯХ, КОНФОРМНО ИЗОМОРФНЫХ ПЛОСКОСТИ С РАЗРЕЗАМИ ВДОЛЬ ПРЯМОЙ
It is proved that extended complex plane with n slits on the real axis is conformally isomorphed to a circular domain, symmetric with respect to this axis.
ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES
We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces. The main...