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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Sur le volume des zéros des fonctions holomorphes et bornées dans la boule de $\textbf {C}^{n}$
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by Éric Amar PDF
Proc. Amer. Math. Soc. 85 (1982), 47-52 Request permission

Abstract:

We give an example of a zero set of a holomorphic bounded function in the unit ball of ${{\mathbf {C}}^n}$, $n \geqslant 2$, with infinite area. This generalizes a previous work of W. Rudin done in the case $n = 2$.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 47-52
  • MSC: Primary 32A35; Secondary 32A40
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0647895-3
  • MathSciNet review: 647895