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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The one-radius theorem is not true for bounded real-analytic functions
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by K. Izuchi
Proc. Amer. Math. Soc. 103 (1988), 823-830
DOI: https://doi.org/10.1090/S0002-9939-1988-0947666-X

Abstract:

There exists a bounded real-analytic function on the unit ball which does not satisfy Rudin’s one-radius theorem.
References
  • Walter Rudin, Function theory in the unit ball of $\textbf {C}^{n}$, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 241, Springer-Verlag, New York-Berlin, 1980. MR 601594
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 823-830
  • MSC: Primary 26E05; Secondary 32C05
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947666-X
  • MathSciNet review: 947666