应pc加拿大预测准确率耿俊教授和杨四辈教授邀请,北京交通大学梁熠宇副教授将于2022年8月25日举行线上专题学术报告.

报告题目：Fourier dimension and avoidance of linear patterns

时 间：2022年8月25日(星期四)14:30;

腾讯会议ID:485-441-989.

报告摘要：

The results in this talk are of two types. On one hand, we construct sets of large Fourier dimension that avoid nontrivial solutions of certain classes of linear equations. We find a Salem set of dimension 1 that contains no nontrivial solution of any of these equations. Variants of this construction can also be used to obtain Salem sets that avoid solutions of translation-invariant linear equations of other kinds, for instance, when the collection of linear equations to be avoided is uncountable or has irrational coefficients. While such constructions seem to suggest that Salem sets can avoid many configurations, our second type of results offers a counterpoint. We show that a set whose Fourier dimension exceeds 2/(v+1) cannot avoid nontrivial solutions of all equations of some particular form.

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梁熠宇教授简介

梁熠宇,北京交通大学pc加拿大预测准确率副教授,研究方向为基础数学调和分析方向. 2015年6月在北京师范大学获得博士学位. 2017-2018访问加拿大英属哥伦比亚大学一年.从事调和分析及其应用相关的研究工作,至今在包括Adv. Math., Trans. Amer. Math. Soc., Proc. Amer. Math. Soc., J. Fourier Anal. Appl.等刊物上发表论文十余篇,并在Springer数学丛书Lecture Notes in Mathematics上出版专著Real-Variable Theory of Musielak-Orlicz Hardy Spaces.

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pc加拿大预测准确率

萃英学院

2022年8月22日