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math.FA2000★ 2 cited
Classifying characteristic functions giving Weyl-Heisenberg frames
P. G. Casazza, M. C. Lammers
We examine the question of which characteristic functions yield Weyl-Heisenberg frames for various values of the parameters. We also give numerous applications of frames of charact…
math.FA2000★ 2 cited
Perturbations of Weyl-Heisenberg frames
Peter G. Casazza, Ole Christensen, Mark C. Lammers
We develop a usable perturbation theory for Weyl-Heisenberg frames. In particular, we prove that if $(E_{mb}T_{na}g)_{m,n\inmathbb Z}$ is a WH-frame and is a function which is…
math.FA2000★ 1 cited
An example of an asymptotically Hilbertian space which fails the approximation property
P. G. Casazza, C. L. Garcia, W. B. Johnson
Following Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the appro…