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Discrete Fourier Restriction Associated With Schrödinger Equations, Yi Hu, Xiaochun Li
Discrete Fourier Restriction Associated With Schrödinger Equations, Yi Hu, Xiaochun Li
Department of Mathematical Sciences Faculty Publications
In this paper, we present a different proof on the discrete Fourier restriction. The proof recovers Bourgain’s level set result on Strichartz estimates associated with Schrödinger equations on torus. Some sharp estimates on L 2(d+2) d norm of certain exponential sums in higher dimensional cases are established. As an application, we show that some discrete multilinear maximal functions are bounded on L 2 (Z).