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arXiv · 2208.09441

Sharp Fourier Extension on the Circle Under Arithmetic Constraints

Valentina Ciccone·Felipe Gonçalves
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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 $B_3$-set.

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Valentina Ciccone, Felipe Gonçalves. 2022-08-19. Sharp Fourier Extension on the Circle Under Arithmetic Constraints. https://arxiv.org/abs/2208.09441

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