Pointwise convergence of scattering data

Date: 2022-05-25

Time: 11:00 - 12:00

Zoom link: https://kva-se.zoom.us/j/9217561880


Alexei Poltoratski


The scattering transform for the Dirac system of differential equations is commonly viewed as a non-linear version of the classical Fourier transform. This connection leads to natural questions on finding analogs of various properties of the Fourier transform in non-linear settings. In my talk I will give a short overview of that area and present a version of Carleson’s theorem on pointwise convergence in the non-linear case.