Sharp Fourier extension on the circle under arithmetic constraints

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 B3-set. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

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, which is a generalization of a B3-set.