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arxiv: 1205.2414 · v2 · submitted 2012-05-11 · 🧮 math.CA

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

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keywords dimensionaldiscretefourierfracrestrictionsphereestimatesexponent
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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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