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PDE Seminar Series
October 10, 2018 @ 10:30 am - 11:30 am
Professor Lixin Yan (Sun Yat-sen University)
Recent progress on Bochner-Riesz means for elliptic operators
In this talk we will investigate $L^p$ bounds for the Bochner-Riesz means and the maximal Bochner-Riesz operators for self-adjoint operators of elliptic type. In particular, we apply it to the Hermite oscillator $H =-\Delta +|x|^2$ in $R^n$ and for other related operators, improving earlier results of Thangavelu and of Karadzhov.