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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

math.CAarXiv:math/0607059

Abstract

We consider Fourier transforms of densities supported on curves in Rd. We obtain sharp lower and close to sharp upper bounds for the Lq decay rates.

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