A characterization of harmonic Arakelyan sets
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- by M. Goldstein and W. H. Ow PDF
- Proc. Amer. Math. Soc. 119 (1993), 811-816 Request permission
Abstract:
Given a closed subset $F$ of either ${R^N},\;N \geqslant 3$, or a Riemann surface, necessary and sufficient conditions are given so that every function continuous on $F$ and harmonic in the interior can be uniformly approximated on $F$ by globally defined harmonic functions.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 811-816
- MSC: Primary 31B05; Secondary 30E10, 30F15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1149971-5
- MathSciNet review: 1149971