Sequential regular variation: extensions of Kendall's theorem
Classical Analysis and ODEs
2019-01-23 v1
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.
Cite
@article{arxiv.1901.07060,
title = {Sequential regular variation: extensions of Kendall's theorem},
author = {N. H. Bingham and A. J. Ostaszewski},
journal= {arXiv preprint arXiv:1901.07060},
year = {2019}
}