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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2006 Volume 253, Pages 214–231 (Mi tm94)

This article is cited in 3 papers

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

G. M. Henkin

Université Pierre & Marie Curie, Paris VI

Abstract: 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)?

UDC: 517.553

Received in December 2005


 English version:
Proceedings of the Steklov Institute of Mathematics, 2006, 253, 195–211

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