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Jasson Vindas: Complex Tauberian theorems for Laplace transforms
发布日期:2019-07-09  字号:   【打印

报告时间:2019年7月10日(星期三)10:00-11:00

报告地点:翡翠湖校区科教楼B座1710

  :Jasson Vindas 副教授

工作单位:Ghent 大学

举办单位:数学学院

报告人简介

报告人Vindas教授来自比利时的Ghent大学,曾发表学术论文70多篇,获得国际多个学术奖项,包括由国际分析、应用和计算协会颁发的2013年ISAAC Award。

报告简介

Complex Tauberian theorems have been strikingly useful tools in diverse areas of mathematics such as number theory and spectral theory for differential operators. Many results in the area from the last three decades  have been motivated by applications in operator theory and semigroups.

In this talk we shall discuss some developments in complex Tauberian theory for Laplace transforms. We will focus on two groups of statements, usually labeled as Ingham-Karamata theorems and Wiener-Ikehara theorems. We will present sharp versions of such theorems, including results with minimal boundary requirements on the Laplace transforms and computation of optimal Tauberian constants.   Several classical applications will be discussed in order to explain the nature of these Tauberian theorems.

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