The convergence-extension theorem of Noguchi in infinite dimensions

DOI10.1090/S0002-9939-01-06129-9zbMath0998.32011MaRDI QIDQ2758985

Tran Ngoc Giao, Do Duc Thai

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

infinite dimensional caseBanach analytic spaceBanach analytic manifoldcomplex hypersurface of a Banach analytic manifold with only normal crossingsconvergence-extension theorem of Noguchihyperbolically imbedded Banach analytic subspace of a Banach analytic space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach analytic manifolds and spaces (32K05) Holomorphic maps on manifolds (58C10) Holomorphic maps in nonlinear functional analysis (46T25) Questions of holomorphy and infinite-dimensional manifolds (58B12) Differentiable functions on analytic spaces, differentiable spaces (32K15)

Cites Work

• Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces
• Hyperbolic imbedding and spaces of continuous extensions of holomorphic maps
• On the disc-convexity of complex Banach manifolds
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