Envelopes of Holomorphy of Jordan Curves in~$\mathbb C^n$

G. M. Henkin

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 214-231.

Résumé

A comprehensive answer is given to two related questions: (i) Can continuous functions be approximated by holomorphic ones on Jordan curves in $\mathbb C^n$ (A. G. Vitushkin, 1964)? (ii) Is any Jordan curve in $\mathbb C^n$ holomorphically convex (E.L. Stout, 1970)?

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