The $abc$-problem for Gabor systems

Xin-Rong Dai, Qiyu Sun

A Gabor system generated by a window function $\varphi$ and a rectangular lattice $a\mathbb{Z}\times \mathbb{Z}/b$ is given by $${\mathcal G}(ϕ, a \Z\times \Z/b):=\{e^{-2πi n t/b} ϕ(t- m a):\ (m, n)\in…