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

Trudy Mat. Inst. Steklova, 2006 Volume 253, Pages 101–110 (Mi tm87)

This article is cited in 5 papers

Holomorphic Equivalence of Tube Domains in $\mathbb C^2$

N. G. Kruzhilina, P. A. Soldatkinb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Russian State University for the Humanities

Abstract: It is proved that, except in a few explicitly described cases, two connected tube domains in $\mathbb C^2$ are biholomorphically equivalent if and only if they are affinely equivalent.

UDC: 517.55+515.177

Received in November 2005


 English version:
Proceedings of the Steklov Institute of Mathematics, 2006, 253, 90–99

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