“數(shù)通古今，學貫中外”學術講座第三十三期預告【W(wǎng)ong Man Wah教授】
作者：高冰 ?? 來源：數(shù)學學院?? 發(fā)布日期：2012-10-22
報告主題: "Analysis, Geometry and Arithmetics on the Heisenberg Group"
報告人：加拿大約克大學Wong Man Wah教授
時 間：10月22日 15：00--16：00
地 點：研究生樓411
題 目：The Sub-Laplacian on the Heisenberg Group
摘 要： We begin with the Heisenberg group and construct the sub-Laplacian. Using
Fourier-Wigner transforms, we obtain a one-parameter family of twisted
Laplacians, each of which can be diagonalized using suitably dilated Hermite
functions. The solutions of the heat equation and the Poisson equation for
the sub-Laplacian are then formulated in terms of the heat kernel and
Green function respectively. They are then shown to be related to the heat
kernels and Green functions of the twisted Laplacians.