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arXiv · 1310.5244

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

Jean Bourgain·Ciprian Demeter
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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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Jean Bourgain, Ciprian Demeter. 2013-10-19. New bounds for the discrete Fourier restriction to the sphere in four and five dimensions. https://arxiv.org/abs/1310.5244

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