On the Holomorphic Extension of Vector Valued Functions
In this paper we study the holomorphic extension of Fréchet (vector) valued (weakly) holomorphic functions from the linear hull of a closed, bounded, absolutely convex set in E to E ; and from a non-pluripolar compact subset in a nuclear Fréchet space to some its neighbourhood.
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Veröffentlicht in: | Complex analysis and operator theory 2015-03, Vol.9 (3), p.567-591 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper we study the holomorphic extension of Fréchet (vector) valued (weakly) holomorphic functions from the linear hull of a closed, bounded, absolutely convex set in
E
to
E
;
and from a non-pluripolar compact subset in a nuclear Fréchet space to some its neighbourhood. |
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ISSN: | 1661-8254 1661-8262 |
DOI: | 10.1007/s11785-014-0382-2 |