Recent developments in Fourier interpolation theory.

Abstract: In this talk we will discuss some problems related to the notion of Fourier interpolation:  formulas where one can recover functions from its values over a certain discrete set, and the values of its Fourier transform over a dual discrete set. These formulas arrive naturally in many situations, and we will mention a few related to certain kinds of uncertainty principles, and the theory of sphere packing.

Posted on Nov 4, 2022 in Differential Equations, Seminars