Geodesic
Uniform approximability of functions by polynomial solutions of second-order elliptic equations on compact plane sets
Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1143-1156.

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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 $\mathbb R^2$. 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. 
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A. B. Zaitsev. Uniform approximability of functions by polynomial solutions of second-order elliptic equations on compact plane sets. Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1143-1156. http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a3/

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