On the Holomorphic Extension of Vector Valued Functions
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- 作者：Thai Thuan Quang ; Nguyen Van Dai
- 关键词：Holomorphic functions ; Holomorphic extension ; Topological linear invariants ; 32A10 ; 46A04 ; 46E50
- 刊名：Complex Analysis and Operator Theory
- 出版年：2015
- 出版时间：March 2015
- 年：2015
- 卷：9
- 期：3
- 页码：567-591
- 全文大小：298 KB
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- 刊物主题：Mathematics
Mathematics
Operator Theory
Analysis- 出版者：Birkh盲user Basel
- ISSN：1661-8262
文摘
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.