Title: Restriction theory in Fourier analysis
Speaker: Hong Wang
Speaker Info: IAS/Princeton
If a function has Fourier transform supported on a sphere, what can we say about this function?Date: Thursday, January 21, 2021
Given a collection of long thin tubes pointing in different directions, how much do they overlap?
These two questions are closely related. In this talk, we will discuss how understanding the second question leads to progress on the first one. More precisely, we will discuss Stein's restriction conjecture and Sogge's local smoothing conjecture for the wave equation.