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报告题目：Finite field analogue of restriction theorem

报 告 人：陈昌昊 博士（澳大利亚新南威尔士大学）

报告时间：2018年5月28日（星期一）下午2:30-3:30

报告地点：4号楼4141室

邀 请 人：李兵 教授

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数学学院

2018年5月24日

报告摘要：

I will first talk about Fourier analysis in Euclidean spaces and introduce the restriction problems, a basic problem in Fourier analysis. Then we turn to the  finite field analogue of restriction problem. G. Mockenhaupt and T. Tao initially studied the finite field analogue of restriction problem. By adapting their arguments we obtain finite field analogue of restriction theorem. Furthermore, inspired by the constructions in the Euclidean setting, we show that the range of the exponentials is sharp for the finite fields setting.