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arXiv · 2411.18457

A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions

Eric T. Sawyer
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Abstract

We compare the smooth Alpert testing condition for the paraboloid Fourier extension conjecture in RiSa3 to the modulated testing condition for the Kakeya conjecture in RiSa2 . To this end, the modulated testing condition is converted to a certain restricted smooth Alpert testing condition for the paraboloid Fourier extension conjecture.

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Eric T. Sawyer. 2024-11-27. A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions. https://arxiv.org/abs/2411.18457

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