Fourier decay for curved Frostman measures

Author:

Dasu Shival,Demeter Ciprian

Abstract

We investigate Fourier decay for Frostman measures supported on curves with nonzero curvature. We combine decoupling with known lower bounds for Furstenberg sets to extend the main result of Orponen [Ann. Fenn. Math. 48 (2023), pp. 113–139].

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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