منابع مشابه
A Schlichtness Theorem for Envelopes of Holomorphy
Let Ω be a domain in C. We prove the following theorem. If the envelope of holomorphy of Ω is schlicht over Ω, then the envelope is in fact schlicht. We provide examples showing that the conclusion of the theorem does not hold in Cn, n > 2. Additionally, we show that the theorem cannot be generalized to provide information about domains in C whose envelopes are multiply sheeted.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1980-0549166-5