Special issue on the occasion of Jaap Korevaar's 100-th birthday

被引：0

作者：

Bingham, N. H. ^{[1
]}

机构：

[1] Imperial Coll, Math Dept, London SW7 2AZ, England

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2023年 / 34卷 / 02期

关键词：

Tauberian theorem; Beurling slow variation; Beurling Tauberian theorem; Beurling moving average; Riesz; mean; Large deviations; TAUBERIAN-THEOREMS; SUMMABILITY METHODS; MOVING AVERAGES; BOREL; BEHAVIOR; VALIRON; MODELS; RIESZ;

D O I：

10.1016/j.indag.2022.08.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We focus on the Tauberian work for which Jaap Korevaar is best known, together with its connections with probability theory. We begin with a brief sketch of the field up to Beurling's work. We follow with three sections on Beurling aspects: Beurling slow variation; the Beurling Tauberian theorem for which it was developed; Riesz means and Beurling moving averages. We then give three applications from probability theory: extremes, laws of large numbers, and large deviations. We then turn briefly to other areas of Korevaar's work. We close with a personal postscript (whence our title).(c) 2022 Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG).

引用

页码：219 / 230

页数：12