Fourier dimension of the cone

Abstract

It is shown that the cone in ${\mathbb{R}}^{d+1}$ has Fourier dimension $d-1$. This verifies a conjecture of Fraser and Kroon.

This article is now obsolete since it is subsumed in arXiv:2105.11414, which should be cited instead

References in corpus (1)

• On the Fourier dimension of $(d,k)$-sets and Kakeya sets with restricted directions