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Sequential Regular Variation: Extensions of Kendall’s Theorem
Quarterly Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-08-26 , DOI: 10.1093/qmathj/haaa019
Nicholas H Bingham 1 , Adam J Ostaszewski 2
Affiliation  

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:

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)。
更新日期:2020-12-13
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