, Volume 351, Issue 3, pp 571-585,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 27 Nov 2010

Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds

Abstract

We give necessary and sufficient conditions for totally real sets in Stein manifolds to admit Carleman approximation of class \({\mathcal C^k}\), k ≥ 1, by entire functions.