June 27, 2024Open Access

Restricted projections and Fourier decoupling in Qₚⁿ

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Abstract

We prove a restricted projection theorem for Borel subsets of Qₚⁿ in the regime p>n. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various covering numbers. Along the way, we prove a fully explicit Fourier decoupling theorem for the moment curve in p-adic Cartesian space.

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Johnsrude et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6312bb6db6435875c3a57 https://doi.org/https://doi.org/10.48550/arxiv.2406.19473

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