Speaker: Sasha Volberg

Title: Non-linear Fourier transform, scattering and harmonic analysis problems

Abstract: In the talk we consider the existence and uniqueness of non-linear Fourier
transform that appears in questions of scattering of discrete Scroedinger
operator. We show how recent results in Harmonic Analysis (including matrix
Hunt-Muckenhoupt-Wheeden weights) naturally appear in the area.
We also explain a very simple approach to prove scattering in many cases.