A borderline random Fourier series (Q1897161)
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scientific article; zbMATH DE number 796520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A borderline random Fourier series |
scientific article; zbMATH DE number 796520 |
Statements
A borderline random Fourier series (English)
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15 January 1996
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Let \((X_n)_{n \geq 1}\) be a mean zero sequence of i.i.d. real-valued random variables. It is shown that the random Fourier series \(\sum_{n \geq 1} n^{-1} X_n \exp (2i \pi nt)\) converges uniformly a.s. if and only if \(E(|X |\log \log (\max (e^e, |X |))) < \infty\).
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random Fourier series
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