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A Study Guide for the l^2 Decoupling Theorem

A Study Guide for the l^2 Decoupling Theorem
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摘要 This paper contains a detailed, self contained and more streamlined proof of the l^2 decoupling theorem for hypersurfaces from the paper of Bourgain and Demeter in 2015. The authors hope this will serve as a good warm up for the readers interested in understanding the proof of Vinogradov's mean value theorem from the paper of Bourgain,Demeter and Guth in 2015. This paper contains a detailed, self contained and more streamlined proof of the l^2 decoupling theorem for hypersurfaces from the paper of Bourgain and Demeter in 2015. The authors hope this will serve as a good warm up for the readers interested in understanding the proof of Vinogradov's mean value theorem from the paper of Bourgain,Demeter and Guth in 2015.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2017年第1期173-200,共28页 数学年刊(B辑英文版)
基金 supported by the NSF Grant DMS-1301619,the NSF Grant DMS-1161752
关键词 Restriction theorems Multilinear Kakeya inequality Decouplings Restriction theorems Multilinear Kakeya inequality Decouplings
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