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The Beurling-Wintner problem and analytic number theory

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讲座题目:The Beurling-Wintner problem and analytic number theory
讲座人: 郭坤宇教授
讲座时间:16:00
讲座日期:2020-10-21
地点:长安校区 电竞竞猜学术报告厅

讲座人简介:

郭坤宇,复旦大学数学科学学院教授、博士生导师。国家杰出青年基金获得者、教育部长江学者特聘教授。在Hilbert模的几何分析、Toeplitz算子和Toeplitz代数方面,做了大量深入的研究,取得了系列重要原创成果,得到国内外泛函分析界的广泛认可,引领了相关领域的研究。

讲座简介:

This talk concerns a long-standing problem on completeness of function systems generated by odd periodic extensions of functions inL^2(0,1). This problem, raised by Beurling and Wintner in the 1940s, is closely related to the Riemann Hypothesis. We completely solve the rational version of step functions(that is, for those functions with rational jump discontinuities) by approaches from analytic number theory, and present several deepapplications including a complete solution to the rational version of Kolzov completeness problem. This is a joint work with H.Dan.

 

 
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