论文标题
Tauberian Korevaar
Tauberian Korevaar
论文作者
论文摘要
我们专注于Jaap Korevaar最著名的Tauberian作品以及与概率理论的联系。我们开始（第1节），简要素描了Beurling的作品。我们遵循有关Beurling方面的三个部分：Beurling慢速变化（第2节）；其开发的Beurling Tauberian定理（第3节）； Riesz的意思和Beurling移动平均值（第4节）。然后，我们提供了概率理论的三个应用：极端（第5节），大量定律（第6节）和大偏差（第7节）。我们在第8节中简要介绍了Korevaar工作的其他领域。我们以个人后记（我们的标题）结束。
We focus on the Tauberian work for which Jaap Korevaar is best known, together with its connections with probability theory. We begin (Section 1) with a brief sketch of the field up to Beurling's work. We follow with three sections on Beurling aspects: Beurling slow variation (Section 2); the Beurling Tauberian theorem for which it was developed (Section 3); Riesz means and Beurling moving averages (Section 4). We then give three applications from probability theory: extremes (Section 5), laws of large numbers (Section 6), and large deviations (Section 7). We turn briefly to other areas of Korevaar's work in Section 8. We close with a personal postscript (whence our title).
