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
收藏
页码:219 / 230
页数:12
相关论文
共 50 条