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arXiv · 1611.00720

On restriction estimates for discrete quadratic surfaces

Kevin Henriot·Kevin Hughes
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Abstract

We obtain truncated restriction estimates of an unexpected form for discrete surfaces \begin{align} S = \{\, ( n_1 , \dots , n_d , R( n_1 , \dots, n_d ) ) \,,\, n_i \in [-N,N] \cap \mathbb{Z} \,\}, \end{align} where $R$ is an indefinite quadratic form with integer matrix.

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Kevin Henriot, Kevin Hughes. 2016-11-02. On restriction estimates for discrete quadratic surfaces. https://doi.org/10.1093/imrn%2Frnx255

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