Modul:   MAT673  Seminar PDE and Mathematical Physics

Optimal trace ideals properties of the Fourier restriction operator and applications

Talk by Dr. Julien Sabin

Speaker invited by: Prof. Dr. Benjamin Schlein

Date: 19.03.15  Time: 18.15 - 19.15  Room: Y27H35/36

We study the trace ideals properties of the Fourier restriction operator to hypersurfaces. Equivalently, we generalize the theorems of Stein-Tomas and Strichartz to systems of orthonormal functions, with an optimal dependence on the number of such functions. As an application, we deduce new Strichartz inequalities describing the dispersive behaviour of the free evolution of quantum systems with an infinite number of particles. This is a joint work with Rupert Frank.