学术信息

数学学科2022系列学术报告之三十

来源:太阳成集团tyc234cc 发布日期:2022-12-12

报告人:陆正义

标题:Spectral characterization of Cantor-Moran measures

时间:20221215日(周四),上午10:00-11:00

地点:线上,腾讯会议ID:644-217-679,会议密码:221215

 

报告摘要:Let m be a Borel probability measure with compact support on n-dimensional Euclidean space. We call m a spectral measure if there exists an orthonormal basis of exponential functions for its L2 space. It has been observed that the spectrality of Cantor-Moran measures is determined by equi-positivity. In this talk, I will introduce the equivalent condition of equi-positivity(joint work with Prof. Liu Jin-Song et al.).As application, we show that all singular continuous Cantor-Moran measures are spectral.