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<p>We study asymptotic characteristics of the Fourier–Stieltjes transform of the distribution of a random variable with independent <i>s</i>-adic digits. Necessary and sufficient conditions are established for the equality to zero of the upper bound of the modulus of the corresponding Fourier–Stieltjes transform at infinity.</p>

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Asymptotic Behavior of the Fourier–Stieltjes Transform of the Distribution of One Random Power Series

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Oleg Makarchuk

摘要

We study asymptotic characteristics of the Fourier–Stieltjes transform of the distribution of a random variable with independent s-adic digits. Necessary and sufficient conditions are established for the equality to zero of the upper bound of the modulus of the corresponding Fourier–Stieltjes transform at infinity.