Уѧ桿The Beurling--Wintner problem and analytic number theory

Kunyu Guo   (Fudan University)

10:00-11:00, October 11, 2022   Tencent Meeting ID: 859 405 709




Abstract:

This talk concerns a long-standing problem on completeness of function systems generated by odd periodic extensions of functions in L^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 deep applications including a complete solution to the rational version of Kolzov completeness problem. This is a joint work with Dr. Hui Dan.

About the speaker:

ѧƸںϺѧĹȳоƸڡѧѧѧԺѧίԱΣѧѧģ뷽صʵΡ2005ҽܳѧ2006걻ƸΪѧƸڡڴۺӴоȡҪɹ˺ڹ֪ѧڿ80ƪаJ.Funct.Anal.13ƪ J. Reine Angew. Math.3ƪ Math Ann Adv MathProc. London Math. Soc. ȡר2Lecture Notes in Math.; -Research Notes in Math. ĸSCIEڿίжѵ⣬γ˸ѧоɫ ͬΪFudan group led by Kunyu Guomaking steady progressa beautiful theory ȺλϺȻѧһȽ (Ϊһ)

Attachments: