椭球面的傅立叶限制性问题

Fourier Restriction Problem for the Ellipsoid

将f∈L^p(R^n)的傅立叶变换限制在椭球面上,给出相应的傅立叶限制性问题对应的指标p,q所必须满足的条件,并证明椭球面的傅立叶限制性猜测在n=2时成立.

Restrict the Fourier transform of f∈Lp（Rn） to the ellipsoid surface, and discuss the necessary conditions for Fourier restriction problem. It is proved that Fourier restriction conjecture for the ellipsoid is true when n=2.