Endpoint Fourier Restriction and Unrectifiability

Explore endpoint Fourier restriction and unrectifiability in this 29-minute lecture by Giacomo Del Nin from the Hausdorff Center for Mathematics. Delve into a dichotomy for measures of dimension s on R^d that admit (p, q) Fourier restriction for endpoint exponents allowed by their dimension. Examine the conditions under which such measures are either absolutely continuous or 1-purely unrectifiable. Learn about Knapp's example for the sphere, decomposability bundle, tangent measures, and the relationship between restriction and tensors. Follow the proof of the main theorem in this joint work with Andrea Merlo from Paris-Saclay.

Intro
Overview
Examples
Knapp's example for the sphere
Main result
Decomposability bundle and tangent measures
Restriction and tensors
Proof of the main theorem