\(H^ \infty\)-extensibility and finite proper holomorphic surjections

DOI10.5802/afst.781zbMath0816.46036OpenAlexW2054469288MaRDI QIDQ1332134

Tran Ngoc Giao

Publication date: 20 July 1995

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1994_6_3_2_293_0

zbMATH Keywords

Riemann domaincompact analytic set of positive dimensionfinite proper holomorphic surjectionGateaux holomorphic extensionholomorphic \(H^ \infty\)-extension propertyholomorphic outside a hypersurface

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20)

Cites Work

• Analytic set-valued functions and spectra
• Prolongement des fonctions holomorphes bornees et métrique de Caratheodory
• Complex analytic geometry
• Domaines de Stein et fonctions holomorphes bornés
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions
• Extending holomorphic maps from compact sets in infinite dimensions

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