Sharp Fourier Extension on the Circle Under Arithmetic Constraints

2022/08/19 by Valentina Ciccone, Ciccone, Valentina, Felipe Gonçalves +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2208.09441

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 B₃-set.

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• On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum

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