On Uniform Approximation of Functions on Planar Compacts by Solutions of Homogeneous Elliptic Equations

Authors: Fedorovkii K.Yu. Published: 08.09.2013
Published in issue: #3(46)/2012  

Category: Mathematics and Mechanics  
Keywords: homogeneous elliptic operator, uniform approximation, Vitushkin’s localization operator

The new sufficient conditions of the uniform-approximation ability of functions on planar compacts by solutions of homogeneous elliptic equations with constant complex-valued coefficients are derived. The obtained conditions are of the metric and topologic nature.