Published December 31, 2004 | Version v1
Journal article Metadata-only

Uniform approximability of functions by polynomial solutions of second-order elliptic equations on compact plane sets

Creators

  • 1. Moscow State Institute of Radio Engineering, Electronics and Automatics (Technical University), Moscow (Russian Federation)

Description

We investigate conditions for the uniform approximability of functions by polynomial solutions of second-order elliptic equations with constant complex coefficients on compact sets in R2. Some new results of a reductive nature are obtained which ensure that a compact set is an approximation compactum if certain special subsets with a simpler topological structure have this property

Availability note (English)

Available from http://dx.doi.org/10.1070/IM2004v068n06ABEH000512

Additional details

Identifiers

DOI
10.1070/IM2004v068n06ABEH000512;

Publishing Information

Journal Title
Izvestiya. Mathematics
Journal Volume
68
Journal Issue
6
Journal Page Range
p. 1143-1156
ISSN
1064-5632

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40005010
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
APPROXIMATIONS; COMPLEX MANIFOLDS; EQUATIONS; MATHEMATICAL SOLUTIONS; POLYNOMIALS; RIEMANN SPACE; SET THEORY; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; MATHEMATICS; SPACE