Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates

• Published in: American Journal of Mathematics
• Main Authors: Frank, Rupert L., Sabin, Julien
• Format: Article in Journal/Newspaper
• Language: unknown
• Published: Johns Hopkins University Press 2017
• Subjects: Hartree; Sogge; laptev
• Online Access: https://doi.org/10.1353/ajm.2017.0041

We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier transforms to systems of orthonormal functions with an optimal dependence on the number of functions. We deduce the corresponding Strichartz bounds for solutions to Schrödinger equations up to the endpoin...