题目：A Sobolev estimate for radial multipliers on SL(n, R)
报告人：Martijn Caspers（Delft University of Technology）
地点：Zoom会议，会议号：882 8540 7533，密码：028422
摘要：Lp-Fourier multipliers form a central tool in harmonic analysis on Euclidean spaces as well as the torus. In this talk we are concerned with natural generalizations of such multipliers on non-abelian groups and focus on the special case of SL(n, R). We show how to construct such Lp-Fourier multipliers by requiring sufficient smoothness of the symbols in the spirit of Hormander-Mikhlin and CalderonTorchinsky. Our methods in particular give new results if p approximates 2. If time permits I will also report on versions of the De Leeuw restriction theorem for SL(n, R) and SL(n, Z). The latter is joint work with Bas Janssens, Amudhan Krishnaswamy-Usha and Lukas Miaskiwskyi.