Holomorphic approximation on compact, holomorphically convex, real-analytic varieties

Every continuous function on a compact, holomorphically convex, real-analytic subset of CN\mathbb {C}^N can be approximated uniformly by functions holomorphic on the set.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2006-08, Vol.134 (8), p.2303-2308
Main Author: Stout, Edgar Lee
Format: Article
Language:English
Subjects:
Algebra
Approximation
Continuous functions
Convexity
Exact sciences and technology
Mathematical analysis
Mathematical functions
Mathematical manifolds
Mathematical notation
Mathematical theorems
Mathematics
Polynomials
Research article
Sciences and techniques of general use
Several complex variables and analytic spaces
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Description
Summary:Every continuous function on a compact, holomorphically convex, real-analytic subset of CN\mathbb {C}^N can be approximated uniformly by functions holomorphic on the set.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-06-08250-5