Fourier decay for curved Frostman measures

DOI10.1090/PROC/16501arXiv2210.02990OpenAlexW4366404603MaRDI QIDQ6061679

Ciprian Demeter, Shival Dasu

Publication date: 31 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.02990

zbMATH Keywords

curvaturedecouplingFurstenberg sets

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
• Spectral gaps, additive energy, and a fractal uncertainty principle
• On the packing dimension of Furstenberg sets
• On Falconer's distance set problem in the plane
• The proof of the \(l^2\) decoupling conjecture
• Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle
• Fourier Restriction, Decoupling, and Applications
• Additive properties of fractal sets on the parabola
• Some connections between Falconer's distance set conjecture and sets of Furstenburg type

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