Geodesic
New Criteria for Uniform Approximability by Harmonic Functions on Compact Sets in $\mathbb R^2$
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 216-226.

Voir la notice de l'article provenant de la source Math-Net.Ru

New uniform approximability criteria formulated in terms of logarithmic capacity are obtained for approximations by harmonic functions on compact sets in $\mathbb R^2$. A relationship between these approximations and analogous approximations on compact sets in $\mathbb R^3$ is established.
Keywords: uniform approximation by harmonic functions, Vitushkin-type localization operator, harmonic capacity, logarithmic capacity, reduction method. 
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     author = {P. V. Paramonov},
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P. V. Paramonov. New Criteria for Uniform Approximability by Harmonic Functions on Compact Sets in $\mathbb R^2$. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 216-226. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a13/

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