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

Stout, Edgar

doi:10.1090/S0002-9939-06-08250-5

Holomorphic approximation on compact, holomorphically convex, real-analytic varieties
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by Edgar Lee Stout

Proc. Amer. Math. Soc. 134 (2006), 2303-2308

DOI: https://doi.org/10.1090/S0002-9939-06-08250-5

Published electronically: 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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