#### Title

Fourier Restriction and Exponential Sum Estimates

#### Document Type

Presentation

#### Publication Date

10-8-2016

#### Abstract

In this talk we will discuss some results in discrete Fourier restriction estimates, a type of exponential sum estimates. The discrete Fourier restriction problem comes from the study of nonlinear Schrödinger equations on tori, and the corresponding estimate (also called Strichartz estimate in PDEs) is used to control the nonlinear term. To prove the estimate, we follow an approach combining both number theory and harmonic analysis. We will also give some recent progress of the similar topics.

#### Sponsorship/Conference/Institution

Integers Conference

#### Location

Carrollton, GA

#### Recommended Citation

Hu, Yi, Xiaochun Li.
2016.
"Fourier Restriction and Exponential Sum Estimates."
*Mathematical Sciences Faculty Presentations*.
Presentation 115.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/115