Fourier uniqueness in ${\mathbb{R}}^4$

Abstract

We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness study for the Klein-Gordon equation and the lattice-cross of critical density, studied by Hedenmalm and Montes-Rodriguez. This has been known since 2017.

3 pages

References in corpus (3)

• The sphere packing problem in dimension 24
• Perron-Frobenius operators and the Klein-Gordon equation
• The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps