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Averaged Decay Estimates for Fourier Transforms of Measures over Curves with Nonvanishing Torsion
Authors:Yutae?Choi,Seheon?Ham  author-information"  >  author-information__contact u-icon-before"  >  mailto:hamsh@kias.re.kr"   title="  hamsh@kias.re.kr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Sanghyuk?Lee
Affiliation:1.Department of Mathematics,Pohang University of Science and Technology,Pohang,Republic of Korea;2.School of Mathematics,Korea Institute for Advanced Study,Seoul,Republic of Korea;3.Department of Mathematical Sciences,Seoul National University,Seoul,Republic of Korea
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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