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Harmonic approximation on arcs |
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| Authors: | Thomas Bagby Aurel Cornea P. M. Gauthier |
| Affiliation: | 1. Department of Mathematics, Indiana University, Rawles Hall, 47405, Bloomington, Indiana, USA 2. Mathematisch-Geographische Fakult?t, Katholischen Universit?t Eichst?tt, Eichst?tt, FRG 3. Department de Mathématiques et de Statisques et Centre de Recherches Mathématiques, Université de Montréal, CP 6128-A, H3C 3J7, Montréal, Québec, Canada |
| Abstract: | If a real interval is mapped by a continuous, proper injection into a noncompact Riemannian manifold of dimension at least two, then every continuous function on the image arc can be approximated arbitrarily closely by functions harmonic on the entire manifold. |
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