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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Bounded analytic functions on two sheeted discs
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by Mikihiro Hayashi, Mitsuru Nakai and Shigeo Segawa PDF
Trans. Amer. Math. Soc. 333 (1992), 799-819 Request permission

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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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 333 (1992), 799-819
  • MSC: Primary 30F20; Secondary 30D50, 30D55, 46J15
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1066444-2
  • MathSciNet review: 1066444