Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds |
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Authors: | Per Erik Manne Erlend Fornæss Wold Nils Øvrelid |
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Affiliation: | 1.Department of Finance and Management Science,Norwegian School of Economics and Business Administration,Bergen,Norway;2.Department of Mathematics,University of Oslo,Oslo,Norway |
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Abstract: | We give necessary and sufficient conditions for totally real sets in Stein manifolds to admit Carleman approximation of class Ck{mathcal C^k}, k ≥ 1, by entire functions. |
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