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. 
@article{IM2_2004_68_6_a3,
     author = {A. B. Zaitsev},
     title = {Uniform approximability of functions by polynomial solutions of second-order elliptic equations on compact plane sets},
     journal = {Izvestiya. Mathematics },
     pages = {1143--1156},
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     volume = {68},
     number = {6},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a3/}
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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/