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arxiv: 1509.00957 · v3 · pith:KCAYVMHRnew · submitted 2015-09-03 · 🧮 math.CA

Averaged decay estimates for Fourier transforms of measures over curves with non vanishing torsion

classification 🧮 math.CA
keywords estimatesaveragedcurvesdecayfouriermeasurestorsiontransforms
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We study averaged decay estimates for Fourier transforms of measures when the averages are taken over space curves with non-vanishing torsion. We extend the previously known results to higher dimensions and discuss sharpness of the estimates.

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