Sharp Fourier Extension on the Circle Under Arithmetic Constraints
Classical Analysis and ODEs
2024-02-15 v2 Number Theory
Abstract
We establish a sharp adjoint Fourier restriction inequality for the end-point Tomas-Stein restriction theorem on the circle under a certain arithmetic constraint on the support set of the Fourier coefficients of the given function. Such arithmetic constraint is a generalization of a -set.
Cite
@article{arxiv.2208.09441,
title = {Sharp Fourier Extension on the Circle Under Arithmetic Constraints},
author = {Valentina Ciccone and Felipe Gonçalves},
journal= {arXiv preprint arXiv:2208.09441},
year = {2024}
}
Comments
17 pages, v2: typos corrected