Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A) = {e2 imxg(x − np/q) : m, n ∈ Z, g ∈...
We use a generalization of Wiener's 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L , 1 )(Rd ), the corresponding frame operato...
By sampling the window of a Gabor frame for L2 (R) belonging to Feichtinger’s algebra, S0(R), one obtains a Gabor frame for l2 (Z). In this article we present a survey of results...