КЛАССИФИКАЦИЯ ВЫПУКЛЫХ МНОГОГРАННИКОВ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2004, Vol 11, Issue
Abstract
The paper is continuation of the author's series of paper devoted to the solution of Hadviger's problem of covering convex polyhedrons with body images at homothety. The problem under discussion in this paper can be described as follows: to give the classification of all convex polyhedrons. Principle of classification the following: exists prismatic part of polyhedron or does not exist.
Authors and Affiliations
Т. М. ПУОЛОКАЙНЕН
РАЗЛОЖЕНИЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ДЛЯ НЕКОТОРЫХ ФУНКЦИОНАЛЬНО-ДИФФЕРЕНЦИАЛЬНЫХ ОПЕРАТОРОВ
We prove the completness of the eigenfunctions of some boundary function-differental problems.
STRUCTURE OF KELLER MAPPINGS, TWO-DIMENSIONAL CASE
A Keller map is a polynomial mapping ƒ : Rⁿ → Rⁿ (or Cⁿ → Cⁿ) with the Jacobian Jƒ ≡ const ≠ 0. The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of a Keller...
ASYMPTOTIC VALUES OF FUNCTIONS, ANALYTIC IN PLANAR DOMAINS
In [1] W. Gross constructed the example of an entire function of infinite order whose set of asymptotic values is equal to the extended complex plain. We obtain an analog of Gross’ result for functions, analytic in plana...
ОЦЕНКИ РАЗНОСТЕЙ РЕШЕНИЙ НЕЛИНЕЙНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ В БАНАХОВОМ ПРОСТРАНСТВЕ
In this paper we consider estimations of difference of nonlinear integral equations in Banach space.
THE GENERALIZED KOEBE FUNCTION
We observe that the extremal function for |a 3| within the class U' α (see Starkov [1]) has as well the property that max|A 4|>4.15, if α=2. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomi...