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arXiv · 1908.05753

Upper bounds for Fourier decay rates of fractal measures

Xiumin Du
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Abstract

For spherical and parabolic averages of the Fourier transform of fractal measures, we obtain new upper bounds on rates of decay by an "intermediate dimension" trick.

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Xiumin Du. 2019-08-15. Upper bounds for Fourier decay rates of fractal measures. https://doi.org/10.1112/jlms.12364

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