On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum
Classical Analysis and ODEs
2025-10-27 v1
Abstract
We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum satisfies .
Cite
@article{arxiv.2510.20934,
title = {On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum},
author = {Felipe Gonçalves and João Paulo Ferreira},
journal= {arXiv preprint arXiv:2510.20934},
year = {2025}
}