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A Study Guide for the l2 Decoupling Theorem |
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Citation: |
Jean BOURGAIN,Ciprian DEMETER.A Study Guide for the l2 Decoupling Theorem[J].Chinese Annals of Mathematics B,2017,38(1):173~200 |
Page view: 935
Net amount: 671 |
Authors: |
Jean BOURGAIN; Ciprian DEMETER |
Foundation: |
This work was supported by the NSF Grant DMS-1301619 and
the NSF Grant DMS-1161752. |
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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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