Randomised circular means of Fourier transforms of measures

DOI10.1090/S0002-9939-02-06696-0zbMath1008.42013OpenAlexW1538595579MaRDI QIDQ3151187

Jonathan M. Bennett, Ana M. Vargas

Publication date: 7 October 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06696-0

zbMATH Keywords

Fourier transformcircular means\(\alpha\)-energy

Mathematics Subject Classification ID

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

Related Items (3)

A bilinear extension inequality in two dimensions. ⋮ A Stein conjecture for the circle ⋮ Fourier restriction in low fractal dimensions

Cites Work

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• A bilinear extension inequality in two dimensions.
• Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Estimates of spherial averages of Fourier transforms and dimensions of sets
• Some connections between Falconer's distance set conjecture and sets of Furstenburg type

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