• Presentation Name: Restriction of Fourier transform to some oscillating curves
    Presenter: 范大山 教授
    Date: 2017-06-20
    Location: 光华东主楼1501
    Abstract:

    Fourier restriction is a very interesting research topic in harmonic analysis, since its applications involve some core problems in harmonic analysis, such as Strichartz estimates and Bochner-Riesz means. In this talk, we will address our recent work on Fourier restriction on simple curves. We obtain the sharp (L^p, L^q) restriction estimate for simple curves in R^n, where n>2 (the result at n=2 was proved in 1974 by Sjolin) .

    This result is based on one of my recent papers joint with X. Chen and L. Wang, which will be published in JFAA.

     

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