Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities

Gauthier, P. M.; Goldstein, M.; Ow, W. H.

doi:10.1090/S0002-9947-1980-0576870-5

Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities
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by P. M. Gauthier, M. Goldstein and W. H. Ow PDF

Trans. Amer. Math. Soc. 261 (1980), 169-183 Request permission

Abstract:

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

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