报告题目：Fractional Fourier transforms on Lp and applications

报告时间：2020年11月28日（周六）上午9:00-11:00

会议地点：腾讯会议 ID：583730913

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主讲人：傅尊伟教授

报告摘要： This talk is devoted to the Lp(R) theory  of the fractional Fourier transform (FRFT) for1≤p<2. In view of the special structure of the FRFT, we study FRFT properties of L1 functions, via the introduction of a suitable chirp operator. However, in the L1(R) setting, problems of convergence arise even when basic manipulations of functions are performed. We overcome such issues and study the FRFT inversion problem via approximation by suitable means, such as the fractional Gauss and Abel means. We also obtain there gularity of fractional convolution and results on pointwise convergence of FRFT means. Finally we discuss Lp multiplier results and a Littlewood-Paley theorey associated with FRFT. This is joint work with Dr. Wei Chen, Prof. Loukas Grafakos and Dr. Yue Wu.

报告人简介：
     傅尊伟，博士、教授，临沂大学数学与统计太阳集团官网院长，水原大学博士生导师。山东省“应用数学” 重点学科首席专家、山东省“富民兴鲁”劳动奖章获得者、全省教育先进工作者；香港“求是”研究生奖学金获得者；全国优秀教师; IEEE会员。在《IEEE Trans.》、《Information Sci.》、《J. Differential Equations》、《Appl. Intelligence》、《Proc. Amer. Math. Soc.》和《中国科学》等SCI杂志上发表论文67篇。主持国家自然科学基金青年项目1项、面上项目3项。获得山东省高校优秀科研成果奖一等奖、山东省高等教育教学成果奖一等奖各1项。曾应邀在英国剑桥大学举行的“第二届世界青年数学家大会”上做45分钟学术报告。