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Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities

Uniform Approximation on Unbounded Sets by Harmonic Functions with Logarithmic Singularities

This paper deals with the qualitative theory of uniform approximation by harmonic functions.The theorems of Brelot and Deny on Runge-and Walshtype approximation on compact sets are extended to unbounded closed sets.