A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids

2025/12/31 by Cristian Rios, Eric T. Sawyer
#math.CA

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Abstract

We prove a smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids, that further extends the characterizations in arXiv:2506.23376v4.

Citations

• Spectral Dimension Flow, Localized Non-Orientable Horizon Defects, and Emergent Time in Black Holes: A Geometry-Driven Effective Framework
• On the multilinear restriction and Kakeya conjectures

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• Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions
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