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Construction of envelopes of holomorphy for some classes of special domains
Authors:Enrico Casadio Tarabusi  Stefano Trapani
Affiliation:1. Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185, Roma, Italy
2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy
Abstract:The envelope of holomorphy E(Ω) of any domain Ω in Cn which is either of circular type or a tube, is constructed in terms of the envelope of a lower dimensional complex space. As consequences, conditions for the univalence of E(Ω) are proved. The research was done primarily while the first author was at the Dipartimento di Matematica of the Università di Trento.
Keywords:  KeywordHeading"  >Math Subject Classification 32D10  32A07  32M05
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