Fourier decay for curved frostman measures

Shival Dasu, Ciprian Demeter

arxiv(2023)

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摘要
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].
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关键词
Curvature,decoupling,Furstenberg sets
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