Abstract
We consider Fourier transforms\(\widehat\mu \) of densities supported on curves in ℝd. We obtain sharp lower and close to sharp upper bounds for the decay rates of\(\widehat\mu \) as R → ∞.
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Communicated by Guido Weiss
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Brandolini, L., Gigante, G., Greenleaf, A. et al. Average decay estimates for Fourier transforms of measures supported on curves. J Geom Anal 17, 15–40 (2007). https://doi.org/10.1007/BF02922080
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DOI: https://doi.org/10.1007/BF02922080