APPROXIMATION OF HOLOMORPHIC MAPPINGS ON 1-CONVEX DOMAINS

DOI10.1142/S0129167X13501085zbMath1295.32019arXiv1305.4256MaRDI QIDQ5401596

Kris Stopar

Publication date: 10 March 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4256

zbMATH Keywords

sprayapproximationCartan pairCartan lemma1-convex domainOka-Grauert theory

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Holomorphic fiber spaces (32L99) Strongly pseudoconvex domains (32T15)

Related Items (1)

Noncritical holomorphic functions on Stein spaces

Cites Work

• The Oka principle for sections of stratified fiber bundles
• The generalized Oka-Grauert principle for 1-convex manifolds
• Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen
• Analytische Faserungen über holomorph-vollständigen Räumen
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• Holomorphic curves in complex spaces
• The Oka-Grauert principle without induction over the base dimension
• Oka's principle for holomorphic fiber bundles with sprays
• Oka's principle for holomorphic submersions with sprays
• Holomorphic submersions from Stein manifolds.
• Vector fields on analytic spaces
• The Levi problem for complex spaces. II
• Manifolds of holomorphic mappings from strongly pseudoconvex domains
• Stetige streng pseudokonvexe Funktionen
• Approximation von holomorphen Schnittflächen in Faserbündeln mit homogener Faser
• Holomorphic function theory in several variables. An introduction. Transl. from the French
• Stein Manifolds and Holomorphic Mappings
• Disc functionals and Siciak–Zaharyuta extremal functions on singular varieties
• Imbedding of Holomorphically Complete Complex Spaces
• Strongly pseudoconvex domains as subvarieties of complex manifolds
• A relative Oka-Grauert principle for holomorphic submersions over 1-convex spaces
• Theorem B for Stein Manifolds with Strictly Pseudoconvex Boundary

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