English

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

Functional Analysis 2021-08-10 v1 Number Theory

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.

Cite

@article{arxiv.2007.03981,
  title  = {Fourier uniqueness in $\mathbb{R}^4$},
  author = {Andrew Bakan and Haakan Hedenmalm and Alfonso Montes-Rodriguez and Danylo Radchenko and Maryna Viazovska},
  journal= {arXiv preprint arXiv:2007.03981},
  year   = {2021}
}

Comments

3 pages

R2 v1 2026-06-23T16:56:40.949Z