报告人：刘和平教授（北京大学）
报告时间：2021年4月19日周一下午3：00-4：00
报告地点：腾讯会议ID：543 8265 5387
报告题目：Restriction theorem on Heisenberg type groups
报告摘要: Fourier restriction theorems are typical results of multivariate harmonic analysis. We recall the classical Stein-Tomas theorem which can be explained as the boundedness of the spectral projection operator with respect to the Laplacian on $\mathbb{R}^n$. This allows us to generalize Stein-Tomas theorem to other backgrounds. Stein-Tomas type theorem does not hold on the Heisenberg group which has the center of dimension one. We establish Stein-Tomas type theorem for a class of invariant differential operators including the subLaplacian and the full Laplacian on Heisenberg type groups with the central dimension large than one. The result is sharp.