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Proceedings of the American Mathematical Society
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Holomorphic approximation on compact, holomorphically convex, real-analytic varieties

Author(s): Edgar Lee Stout
Journal: Proc. Amer. Math. Soc. 134 (2006), 2303-2308.
MSC (2000): Primary 32E30
Posted: February 2, 2006
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Abstract: Every continuous function on a compact, holomorphically convex, real-analytic subset of $ \mathbb{C}^N$ can be approximated uniformly by functions holomorphic on the set.


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Additional Information:

Edgar Lee Stout
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Email: stout@math.washington.edu

DOI: 10.1090/S0002-9939-06-08250-5
PII: S 0002-9939(06)08250-5
Keywords: Holomorphic approximation, holomorphically convex sets.
Received by editor(s): June 8, 2004
Received by editor(s) in revised form: March 2, 2005
Posted: February 2, 2006
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2006, American Mathematical Society


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