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 | |
| DOI: | |
| 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.