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
Hauptverfasser: Quang, Thai Thuan, Van Dai, Nguyen
Format: Artikel
Sprache:eng
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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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-014-0382-2