Hartogs-Osgood theorem for separately harmonic functions
Let h be a separately harmonic function on an open neighborhood of a (m-1)-dimensional compact submanifold \Sigma in \bR^m with m\geq 2. We show that h can be extended to a separately harmonic function on the bounded component of \bR^m-\Sigma.
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| Veröffentlicht in: | Proceedings of the Japan Academy. Series A. Mathematical sciences 2007-03, Vol.83 (2), p.16-18 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let h be a separately harmonic function on an open neighborhood
of a (m-1)-dimensional compact submanifold \Sigma in \bR^m
with m\geq 2. We show that h can be extended to a
separately harmonic function on the bounded component of \bR^m-\Sigma. |
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| ISSN: | 0386-2194 |
| DOI: | 10.3792/pjaa.83.16 |