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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities


Authors: P. M. Gauthier, M. Goldstein and W. H. Ow
Journal: Trans. Amer. Math. Soc. 261 (1980), 169-183
MSC: Primary 30E10; Secondary 31C05
MathSciNet review: 576870
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0576870-5
PII: S 0002-9947(1980)0576870-5
Article copyright: © Copyright 1980 American Mathematical Society