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Best uniform approximation by harmonic functions on subsets of Riemannian manifolds |
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| Authors: | P. M. Gauthier D. Zwick |
| Affiliation: | 1. Département de Mathématiques et de Statistique, Université de Montréal, Case postale 6128 Succursale “A”, H3C 3J7, Montréal, Quebec, Canada 2. Department of Mathematics and Statistics, University of Vermont, 16 Colchester Avenue, 05401-1455, Burlington, Vermont, USA |
| Abstract: | We investigate best uniform approximations to bounded, continuous functions by harmonic functions on precompact subsets of Riemannian manifolds. Applications to approximation on unbounded subsets ofR2 are given.Communicated by J. Milne Anderson. |
| Keywords: | KeywordHeading" >AMS classification Primary 41A50, 41A63 Secondary 31A05 |
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