Abstract
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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Communicated by Eric Todd Quinto.
S. Lee is supported in part by NRF-2015R1A2A2A05000956 (Republic of Korea).
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Choi, Y., Ham, S. & Lee, S. Averaged Decay Estimates for Fourier Transforms of Measures over Curves with Nonvanishing Torsion. J Fourier Anal Appl 23, 1028–1061 (2017). https://doi.org/10.1007/s00041-016-9497-3
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DOI: https://doi.org/10.1007/s00041-016-9497-3