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Sur le volume des zéros des fonctions holomorphes et bornées dans la boule de $ {\bf C}\sp{n}$


Author: Éric Amar
Journal: Proc. Amer. Math. Soc. 85 (1982), 47-52
MSC: Primary 32A35; Secondary 32A40
MathSciNet review: 647895
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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$.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0647895-3
Article copyright: © Copyright 1982 American Mathematical Society