C\(^k\) approximation by holomorphic functions and \(\bar \partial\)-closed forms on C\(^k\) submanifolds of a complex manifold

DOI10.1007/BF01360034zbMath0275.32008OpenAlexW1984208819MaRDI QIDQ2265574

Yum-Tong Siu, R. Michael Range

Publication date: 1974

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162612

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

Equivalence of real submanifolds under volume-preserving holomorphic automorphisms of \(\mathbb{C}^ n\), Holomorphic approximation and estimates for the \({\bar \partial}\)-equation on strictly pseudoconvex nonsmooth domains, Unnamed Item, Maximum modulus sets, Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan, Approximation by polynomials in two diffeomorphisms, A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions, Unnamed Item, Holomorphic submersions from Stein manifolds., A counterexample to uniform approximation on totally real manifolds in \(\mathbb C^{3}\), Polynomially convex embeddings of even-dimensional compact manifolds, Rational and polynomial density on compact real manifolds, On complex points of codimension 2 submanifolds

Cites Work

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