Improved estimates for the discrete Fourier restriction to the higher dimensional sphere

2012/05/11 by Bourgain, Jean, Demeter, Ciprian
#11L07 (Primary) 11L05 #42A16 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1205.2414

Abstract

We improve the exponent for the discrete Fourier restriction to the n dimensional sphere, from p=(2(n+1))/(n-3) to p=(2n)/(n-3), when n≥ 4.

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