Geodesic
Uniform approximation by harmonic functions on compact subsets of $\mathbb R^3$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 39, Tome 389 (2011), pp. 162-190 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider uniform approximation by harmonic functions on compact subsets in $\mathbb R^3$. Under an additional assumption that an approximated function is Dini-continuous, we prove a natural analog of Vitushkin's well-known uniform approximation lemma for an individual analytic function. 
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M. Ya. Mazalov. Uniform approximation by harmonic functions on compact subsets of $\mathbb R^3$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 39, Tome 389 (2011), pp. 162-190. http://geodesic.mathdoc.fr/item/ZNSL_2011_389_a9/

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