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arxiv: math/0607059 · v2 · submitted 2006-07-03 · 🧮 math.CA

Average decay estimates for Fourier transforms of measures supported on curves

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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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