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arXiv · 1205.2414

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

Jean Bourgain·Ciprian Demeter
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Abstract

We improve the exponent for the discrete Fourier restriction to the $n$ dimensional sphere, from $p=\frac{2(n+1)}{n-3}$ to $p=\frac{2n}{n-3}$, when $n\ge 4$.

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Jean Bourgain, Ciprian Demeter. 2013-09-30. Improved estimates for the discrete Fourier restriction to the higher dimensional sphere. https://arxiv.org/abs/1205.2414

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