Gabor frames with rational density

Yurii Lyubarskii, Preben Gråberg Nes

We consider the frame property of the Gabor system G(g, α, β) = {e2πiβnt g(t - αm) : m, n \in Z} for the case of rational oversampling, i.e. α, β \in Q. A 'rational' analogue of th…