On Gabor orthonormal bases over finite prime fields

A. Iosevich, M. Kolountzakis, Yu. Lyubarskii +2

We study Gabor orthonormal windows in $L^2({\mathbb{Z}}_p^d)$ for translation and modulation sets $A$ and $B$, respectively, where $p$ is prime and $d\ge 2$. We prove that for a set $…