Sequential regular variation: extensions of Kendall's Theorem

Bingham, N. H.; and Ostaszewski, AdamORCID logo (2020) Sequential regular variation: extensions of Kendall's Theorem Quarterly Journal of Mathematics, 71 (4). 1171 - 1200. ISSN 0033-5606
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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.
Item Type Article
Copyright holders © 2020 The Authors
Keywords Kendall’s Theorem, regular variation, General regular variation, Uniform convergence theorem, Golab-Schinzel equation, Beurling-Goldie equation, Essential limits, Croatian theory, Category-measure duality
Departments Mathematics
DOI 10.1093/qmathj/haaa019
Date Deposited 30 Mar 2020 15:45
Acceptance Date 2020-03-30
URI https://researchonline.lse.ac.uk/id/eprint/103894

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