Serguei Kisliakov—— Indicator functions with large gaps in the spectrum

发布时间:2019-04-24浏览次数:1051


题目Indicator functions with large gaps in the spectrum


报告人Serguei Kisliakov (Steklov Mathematical Institute St.Petersburg, Russia)


时间4月29日,16:00-17:00


地点:明德楼B区201学术报告厅


摘要It will be shown that for every set E of finte measure on the real line there is a set F with the same measure and very large gaps in the spectrum such that the measure of the symmetric difference of E and F is as small as we wish. This is a generalization of a recent result by Nazarov and Olevskii, which claimed the same but without a correction ingredient. A short survey of related results about possible and impossible violations of the uncertainty principle will also be given.


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