A Study Guide for the l2 Decoupling Theorem

Citation:

Jean BOURGAIN,Ciprian DEMETER.A Study Guide for the l2 Decoupling Theorem[J].Chinese Annals of Mathematics B,2017,38(1):173~200
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Authors:

Jean BOURGAIN; Ciprian DEMETER

Foundation:

This work was supported by the NSF Grant DMS-1301619 and the NSF Grant DMS-1161752.
Abstract: 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.

Keywords:

Restriction theorems, Multilinear Kakeya inequality, Decouplings

Classification:

42B37
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