Quantized collision invariants on the sphere

Benjamin Anwasia, Diogo Arsénio

We show that a measurable function $g:{\mathbb{S}}^{d-1}\to \mathbb{R}$, with $d\ge 3$, satisfies the functional relation \begin{equation*} g(ω)+g(ω_*)=g(ω')+g(ω_*'), \end{equation*}…