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Average decay estimates for Fourier transforms of measures supported on curves

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arxiv math/0607059 v2 pith:4FLG2KRD submitted 2006-07-03 math.CA

Average decay estimates for Fourier transforms of measures supported on curves

Luca Brandolini , Giacomo Gigante , Allan Greenleaf , Alexander Iosevich , Andreas Seeger , Giancarlo Travaglini This is my paper
classification math.CA
keywords curvesdecayfouriersharpsupportedtransformsaveragebounds
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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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