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arXiv 1611.09765math.NTmath.CA
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Wiener-Ikehara定理的推广

Generalization of the Wiener-Ikehara theorem

Gregory Debruyne, Jasson Vindas

摘要:

在所谓的对数线性缓减条件下研究了Wiener-Ikehara定理。此外,我们澄清了以维纳-池原定理的精确形式(即该定理的“当且仅当”版本)发生的关于拉普拉斯变换的两个不同假设之间的联系。

英文摘要:

We study the Wiener-Ikehara theorem under the so-called log-linearly slowly decreasing condition. Moreover, we clarify the connection between two different hypotheses on the Laplace transform occurring in exact forms of the Wiener-Ikehara theorem, that is, in "if and only if" versions of this theorem.

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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