Holomorphic approximation on compact, holomorphically convex, real-analytic varieties
From MaRDI portal
Publication:5290021
DOI10.1090/S0002-9939-06-08250-5zbMath1092.32007OpenAlexW1516279684MaRDI QIDQ5290021
Publication date: 24 April 2006
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08250-5
continuous functionholomorphically convexholomorphic approximationreal-analytic subvariety of \(\mathbb{C}^N\)
Related Items
A peak point theorem for uniform algebras on real-analytic varieties ⋮ Presence or absence of analytic structure in maximal ideal spaces ⋮ Localization for uniform algebras generated by real-analytic functions ⋮ Polynomial convexity and polynomial approximations of certain sets in \(\mathbb{C}^{2n}\) with non-isolated CR-singularities ⋮ Uniform approximation on disc ⋮ Analytic discs and uniform algebras generated by real-analytic functions ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Peak point theorems for uniform algebras on smooth manifolds ⋮ On polynomial convexity of compact subsets of totally-real submanifolds in \(\mathbb{C}^n\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Famiglie di dischi analitici con bordo su sottovarieta CR non generiche
- Homomorphism spaces of algebras of holomorphic functions
- Pseudoconvex domains with real-analytic boundary
- Polynomial convexity, rational convexity, and currents
- Holomorphic convexity and analytic structures in Banach algebras
- Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
- Totally Real Embeddings of S 3 in C 3
- Polynomial approximation on real-analytic varieties in $\mathbf {C}^n$
- Failure of Polynomial Approximation on Polynomially Convex Subsets of the Sphere
- Compact Holomorphically Convex Subsets of a Stein Manifold
