Vol. 149, No. 2, 1991

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Envelopes of holomorphy of Hartogs and circular domains

Enrico Casadio Tarabusi and Stefano Trapani

Vol. 149 (1991), No. 2, 231–249
Abstract

Conditions are given for the envelope of holomorphy of a Hartogs or circular domain in Cn to be univalent, together with its explicit construction. The noneliminability of the assumptions is shown by counterexamples.

Mathematical Subject Classification 2000
Primary: 32D10
Secondary: 32A07
Milestones
Received: 18 November 1988
Revised: 8 February 1990
Published: 1 June 1991
Authors
Enrico Casadio Tarabusi
Stefano Trapani