讲座题目：An estimate for spherical functions on SL(3,R)

主  讲  人：李晓承博士（山东大学）

讲座时间：2024年09月18日 10：00-11：00 时

讲座地点：江南大学理学院钱伟长楼201会议室

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理学院

2024年09月06日

讲座内容简介：

We prove an estimate for spherical functions on SL(3,R), establishing uniform decay in the spectral parameter when the group variable is restricted to a compact subset of the abelian subgroup. In the case of SL(3,R), it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that the group variable should remain regular. As in their work, we estimate the oscillatory integral by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms.

主讲人简介：

李晓承，山东大学博士后，研究领域为调和分析与李理论。2021年博士毕业于美国威斯康星大学麦迪逊分校。