A counterexample to uniform approximation on totally real manifolds in \(\mathbb C^{3}\)

DOI10.1307/mmj/1250169068zbMath1193.32008OpenAlexW2042129270WikidataQ124936543 ScholiaQ124936543MaRDI QIDQ1045741

Erlend Fornæss Wold

Publication date: 15 December 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1250169068

zbMATH Keywords

uniform approximationtotally realpolynomial convexity

Mathematics Subject Classification ID

Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (3)

On the ampleness of positive CR line bundles over Levi-flat manifolds ⋮ Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan

Cites Work

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• Eine Verschärfung eines Approximationssatzes von Carleman
• Polynomial convexity
• Approximation theory on totally real submanifolds
• Uniform approximation by entire functions
• C\(^k\) approximation by holomorphic functions and \(\bar \partial\)-closed forms on C\(^k\) submanifolds of a complex manifold
• Uniform approximation on smooth curves
• A Carleman theorem for curves in $\mathsf{C}^n$
• Carleman Approximation by Entire Functions on the Union of Two Totally Real Subspaces of Cⁿ
• Several Complex Variables and Banach Algebras
• Approximation On Arcs and Dendrites Going to Infinity in ℂⁿ
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.

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