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Transactions of the American Mathematical Society

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Bounded analytic functions on two sheeted discs

Authors: Mikihiro Hayashi, Mitsuru Nakai and Shigeo Segawa
Journal: Trans. Amer. Math. Soc. 333 (1992), 799-819
MSC: Primary 30F20; Secondary 30D50, 30D55, 46J15
MathSciNet review: 1066444
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Abstract: Results of qualitative nature of both positive and negative directions on the point separation by bounded analytic functions of smooth subregions of two sheeted discs are given when two sheeted discs themselves are not separated by bounded analytic functions. We are, in particular, concerned about roles of branch points in two sheeted discs played in the point separation by bounded analytic functions.

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Article copyright: © Copyright 1992 American Mathematical Society