Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds
From MaRDI portal
Publication:652239
DOI10.1007/s00208-010-0605-4zbMath1246.32009OpenAlexW2086933147MaRDI QIDQ652239
Nils Øvrelid, Erlend Fornæss Wold, Per Erik Manne
Publication date: 14 December 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11250/163550
Real submanifolds in complex manifolds (32V40) 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
Proper holomorphic embeddings of finitely connected planar domains into \(\mathbb C^n\) ⋮ Recent developments on Oka manifolds ⋮ Uniform algebras and approximation on manifolds ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Carleman approximation by holomorphic automorphisms of \(\mathbb{C}^n\) ⋮ Fibrations and Stein neighborhoods ⋮ Carleman approximation by conformal minimal immersions and directed holomorphic curves ⋮ Totally real embeddings with prescribed polynomial hulls ⋮ Carleman approximation of maps into Oka manifolds ⋮ A remark on Arakelyan’s theorem in higher dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eine Verschärfung eines Approximationssatzes von Carleman
- Polynomial convexity
- A counterexample to uniform approximation on totally real manifolds in \(\mathbb C^{3}\)
- Uniform approximation by entire functions
- Uniform approximation on smooth curves
- Zero sets of non-negative strictly plurisubharmonic functions
- Polynomial convexity and totally real manifolds
- Approximation On Arcs and Dendrites Going to Infinity in ℂn
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Carleman Approximation on Totally Real Subsets of Class Ck.
