The Oka-Weil Theorem

University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

Author: Jesper Karlsson; [2017]

Keywords: several complex variables; holomorphic functions; polynomial convexity; Oka-Weil theorem; Oka extension theorem; differential forms;

Abstract: We give a proof of the Oka-Weil theorem which states that on compact, polynomially convex subsets of Cn, holomorphic functions can be approximated uniformly by holomorphic polynomials.

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