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Let A⊂L2(R) be at most countable, and p,q∈N. We characterize various frame-properties for Gabor systems of the formG(1,p/q,A)={e2πimxg(x-np/q):m,n∈Zg∈A}in terms of the corresponding frame properties for the row vectors in the Zibulski–Zeevi matrix. This extends work by [Ron and Shen, Weyl–Heisenberg systems and Riesz bases in L2(Rd). Duke Math. J. 89 (1997) 237–282], who considered the case where...
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