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Average decay estimates for Fourier transforms of measures supported on curves

Luca Brandolini·Giacomo Gigante·Allan Greenleaf·Alexander Iosevich·Andreas Seeger·Giancarlo Travaglini
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Abstract

We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.

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Luca Brandolini, Giacomo Gigante, Allan Greenleaf, Alexander Iosevich, Andreas Seeger, Giancarlo Travaglini. 2006-07-13. Average decay estimates for Fourier transforms of measures supported on curves. https://arxiv.org/abs/math/0607059

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