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COHOMOLOGY VANISHING IN HILBERT SPACES

COHOMOLOGY VANISHING IN HILBERT SPACES
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摘要 The authors give two cohomology vanishing theorems for domains, which are not pseudoconvex, and characterize the holomorphy of domains with smooth boundaries in separable Hilbert spaces through cohomology vanishing.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第1期87-96,共10页 数学年刊(B辑英文版)
基金 Korea Research Foundation Grant (KRF-2001-015-DP0015).
关键词 Infinite dimension Cohomology vanishing PSEUDOCONVEXITY 上同调消没定理 HILBERT空间 伪凸性 光滑边界
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