基础数学系学术报告
题目: Spectral properties of Bernoulli convolutions
报告人: 付延松(中国矿业大学(北京))
时间:2022-11-18 14:00-15:00 (周五下午)
地点: 腾讯会议ID:910-252-999
摘要: A Borel probability measure is called spectral if its square-integrable funtion space admits a family of exponential orthonormal basis. In this talk, we will review some spectral properties of Bernoulli convolutions, which includes its spectrality, the structure of spectra, the convergence properties of mock Fourier series, and the structure of accumulation points of its Fourier-Stieltjes transform.
报告人简介: 付延松,男,中国矿业大学(北京)理学院副教授,硕士生导师;研究领域为分形几何与几何测度论、测度谱理论等。主持完成国家自然科学基金青年基金项目1项;在J.Math. Pures Appl., J. Funt. Anal., J.Fourier Anal. Appl. , J.Approx. Theory, J. Geom. Anal.等国际SCI刊物发表科研论文10余篇。
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邀请人:戴蔚