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
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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
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