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**publisher and metadata sources**).Given a frame in Cn which satisfies a form of the uncertainty principle (as introduced by Candes and Tao), it is shown how to quickly convert the frame representation of every vector into a more… Continue Reading

We describe the complete interpolating sequences for the Paley-Wiener spaces Lpp (1 < p < 8) in terms of Muckenhoupt's (Ap) condition. For p = 2, this description coincides with those given by Pavlov… Continue Reading

We consider the frame property of the Gabor system G(g, {\alpha}, {\beta}) = {e2{\pi}i{\beta}nt g(t - {\alpha}m) : m, n \in Z} for the case of rational oversampling, i.e. {\alpha}, {\beta} \in Q. A… Continue Reading

We investigate Gabor frames based on a linear combination of Hermite functions Hn. We derive sufficient conditions on the lattice Λ⊆R2 such that the Gabor system {e2πiλ2tHn(t−λ1):λ=(λ1,λ2)∈Λ} is a… Continue Reading

We investigate vector-valued Gabor frames (sometimes called Gabor superframes) based on Hermite functions Hn. Let h = (H0, H1, . . . , Hn) be the vector of the first n + 1 Hermite functions. We give… Continue Reading

The possibility of representing functions which are analytic in a bounded convex domain G c C by means of exponential series, was first investigated by Leont%v [5] (see also his monograph [6] and the… Continue Reading

It is well known that Gabor expansions generated by a lattice of Nyquist density are numerically unstable, in the sense that they do not constitute frame decompositions. In this paper, we clarify… Continue Reading