Department of Mathematics Calendar
Rupert Frank, Caltech, Lieb-Thirring bounds and other inequalities for orthonormal functions
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February 22 | 3:00 pm - 4:00 pm EST
We discuss extensions of several inequalities in harmonic analysis to the setting of families of orthonormal functions. While the case of Sobolev-type inequalities is classical, newer results concern the Strichartz inequality, the Stein-Tomas inequality and Sogge’s spectral cluster estimates, among others. Of particular interest is the dependence of the constants in the resulting bounds on the number of functions and we will present some optimal results.
The talk is based on joint work with Julien Sabin.
Zoom ID: 939 3643 7199 (opens 15 min prior to the meeting)