Document Type
Article
Publication Date
2014
Publication Title
Revista Matemática Iberoamericana
DOI
10.4171/RMI/815
Abstract
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).
Recommended Citation
Hu, Yi, Xiaochun Li.
2014.
"Discrete Fourier Restriction Associated with Schrödinger Equations."
Revista Matemática Iberoamericana, 30 (4): 1281-1300.
doi: 10.4171/RMI/815 source: http://arxiv.org/abs/1108.5164
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/343
Comments
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