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arXiv 2003.10497math.FA
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Wiener-Wintner遍历定理的几乎一致收敛

Almost uniform convergence in Wiener-Wintner ergodic theorem

Vladimir Chilin, Semyon Litvinov

摘要:

本文将$σ$ -有限测度的Wiener-Wintner遍历定理中的几乎处处收敛推广到一个更强的几乎一致收敛,并给出了一个更大的、普遍的收敛空间.然后,我们将这一结果与贝西科维奇权重的情况下。

英文摘要:

We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for $σ$-finite measure to a generally stronger almost uniform convergence and present a larger, universal, space for which this convergence holds. We then extend this result to the case with Besicovitch weights.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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