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arXiv · 1602.04756

Levy's phenomenon for analytic functions in the polydisc

A. O. Kuryliak·O. B. Skaskiv·S. R. Skaskiv
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Abstract

In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the polydisc $\mathbb{D}^p=\{z\in\mathbb{C}^p\colon |z_j|<1, j\in\{1,\ldots,p\}\},\ p\in\mathbb{Z}_+$. The obtained inequality is sharp.

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A. O. Kuryliak, O. B. Skaskiv, S. R. Skaskiv. 2016-02-15. Levy's phenomenon for analytic functions in the polydisc. https://arxiv.org/abs/1602.04756

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