Averaged Decay Estimates for Fourier Transforms of Measures over Curves with Nonvanishing Torsion

作者：Choi Yutae; Ham Seheon^*; Lee Sanghyuk

来源：Journal of Fourier Analysis and Applications, 2017, 23(5): 1028-1061.

DOI：10.1007/s00041-016-9497-3

• Fourier transform
• Averaged decay
• Measure

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.

• 出版日期2017-10