Discrete Fourier restriction associated with Schrödinger equations
Discrete Fourier restriction associated with Schrödinger equations
We present a novel proof on the discrete Fourier restriction. The proof recovers Bourgain's level set result for Strichartz estimates associated with Schrödinger equations on a torus. Some sharp estimates on L^{{2(d+2)}/{d}} norms of certain exponential sums in higher dimensional cases are established. As an application, we show that some …