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14-04-2021

调和分析学术报告-Restriction theorem on Heisenberg type groups-刘和平教授

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.

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