Title：A Sobolev estimate for radial multipliers on SL(n, R)
Speaker: Martijn Caspers（Delft University of Technology）
Time: Wednesday, April 19, 2023, 16:00-17:30
Location:Zoom Meeting, Meeting ID:882 8540 7533，Password: 028422
Abstract: 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.
More information about the Functional Analysis Seminar can be found here.
