A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on $\mathbb{P}^2$

We show that for every 0 < ๐›ฟ < 1, the Fourier extension conjecture on the paraboloid in three dimensions is equivalent to a local single scale smooth Alpert trilinear inequality of the form, EQ

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2026-08-03
DOI
https://doi.org/10.4153/s0008439526102410
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
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article

A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on $\mathbb{P}^2$

Cristian Rios, Eric Sawyer
Canadian Mathematical Bulletin
Advanced Mathematical Physics Problems
article

A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on $\mathbb{P}^2$

Cristian Rios, Eric Sawyer
article en

Abstract

We show that for every 0 < ๐›ฟ < 1, the Fourier extension conjecture on the paraboloid in three dimensions is equivalent to a local single scale smooth Alpert trilinear inequality of the form, EQ

Canadian Mathematical Bulletin
Openalex Percentile: Top 4%
Advanced Mathematical Physics Problems
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