Speaker
Alexei Poltoratski
Abstract
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.