11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2016
The Stein-Tomas inequality in trace ideals
Rupert L. Frank, Julien Sabin
The goal of this review is to explain some recent results regarding generalizations of the Stein-Tomas (and Strichartz) inequalities to the context of trace ideals (Schatten spaces…
math.AP2016★ 11 cited
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces
Rupert L. Frank, Julien Sabin
We generalize the spectral cluster bounds of Sogge for the Laplace-Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of th…
math-ph2014★ 1 cited
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
Rupert L. Frank, Julien Sabin
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 num…