Abstract

Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic–Karamata/de Haan and Beurling theories as special cases. We give sequential versions of the main theorems, that is, with sequential rather than continuous limits. This extends the main result, a theorem of Kendall’s (which builds on earlier work of Kingman and Croft), to the general setting.

中文翻译：

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顺序正则变化：肯德尔定理的扩展

摘要

规则变化是一种连续参数理论；我们在一般情况下工作，其中包含现有的Karamata，Bojanic–Karamata / de Haan和Beurling理论作为特例。我们给出了主要定理的顺序版本，即具有连续而不是连续的极限。这将主要结果（Kendall定理（建立在Kingman和Croft的早期工作的基础上）扩展到一般设置）。