Holomorphic approximation on totally real submanifolds of a complex manifold

DOI10.1090/S0002-9904-1971-12820-3zbMath0219.32010MaRDI QIDQ5624004

F. Reese Harvey, Raymond O. jun. Wells

Publication date: 1971

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

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (4)

Polynomial convexity and polynomial approximations of certain sets in \(\mathbb{C}^{2n}\) with non-isolated CR-singularities ⋮ Approximation ponderee sur une sous-variété totalement réelle de \(\mathbb{C}^n\) ⋮ Polynomially convex embeddings of odd-dimensional closed manifolds ⋮ Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold

Cites Work

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• On Levi's problem and the imbedding of real-analytic manifolds
• Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
• HYPERFUNCTIONS AND LINEAR PARTIAL DIFFERENTIAL EQUATIONS
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• Approximation Theorems on Differentiable Submanifolds of a Complex Manifold
• The Theory of Hyperfunctions on Totally Real Subsets of a Complex Manifold with Applications to Extension Problems

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