New bounds for the discrete Fourier restriction to the sphere in four and five dimensions

2013/10/19 by Jean Bourgain, Ciprian Demeter, Bourgain, Jean +1
Mathematics · #11L03 (Primary) 42A16 #42A25 #52C35 (Secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1310.5244

openalex publication_date 2013/10/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We improve the range for the discrete Fourier restriction to the four and five dimensional spheres. We rely on two new ingredients, incidence theory and Siegel's mass formula.

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