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.
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This paper was completed while Per Erik Manne was Visiting Scholar at the University of Michigan, and he thanks for the hospitality shown him during this stay.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Manne, P.E., Wold, E.F. & Øvrelid, N. Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds. Math. Ann. 351, 571–585 (2011). https://doi.org/10.1007/s00208-010-0605-4
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DOI: https://doi.org/10.1007/s00208-010-0605-4