【理学院】理学论坛第119次学术活动通知

报告题目：Non orthogonal wavelets and its applications in numerical and signal analysis

报告人：韩永生教授（http://www.auburn.edu/cosam/faculty/math_stats/han_y/index.htm）

报告人单位：Department of Mathematics and Statistics, Auburn University, USA（http://www.auburn.edu/cosam/）

时间：2017年10月24日16:00-17:00

地点：教2-225(1)室

主办单位：理学院、科研院

报告内容：At the beginning of the 1980s, many scientists were already using wavelets as an alternative to traditional Fourier analysis. A well-known identity, due to Calderόn, indeed, was the first version, in which /were implicitly involved. In this talk, we will describe a simpler method for making non orthogonal wavelets. More precisely, for any given function  with certain size, smoothness conditions and , set . Then for ,

In this talk, we will show a very simple method to construct a functionsuch that

where and satisfies a similar properties as does.

The above representation can be considered as a non orthogonal wavelet. It would be very useful in many applications such as numerical analysis and signal analysis.

报告人简介：韩永生教授1981年于北京大学获得硕士学位，1984年在美国Washington University大学师从鼎鼎大名的调和分析大师G. Weiss 教授，获得博士学位。目前，他是美国Auburn大学数学系终身教授。韩永生教授长期从事调和分析的教学与研究，尤其是函数空间理论，已在国内外期刊 Trans. Amer. Math. Soc., Anal. PDE, Mem. Amer. Math. Soc., J. Geom. Anal., J. Funct. Anal., Ann. Scuola Norm. Sup. Pisa Cl. Sci., Rev. Mat. Iberoam., Math. Z., Math. Res. Lett., J. Fourier Anal. Appl.等杂志发表近百篇高水平学术论文。撰写出版专著《Harmonic Analysis on Spaces of Homogeneous Type》，《Hp空间》，《近代调和分析方法及其应用》。