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Perturbations of Weyl-Heisenberg frames

Peter G. Casazza·Ole Christensen·Mark C. Lammers
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Abstract

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 $h$ is a function which is close to $g$ in the Wiener Amalgam space norm, then $(E_{mb}T_{na}h)_{m,n\in \mathbb Z}$ is also a WH-frame.

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BibTeXRIS

Peter G. Casazza, Ole Christensen, Mark C. Lammers. 2000-08-22. Perturbations of Weyl-Heisenberg frames. https://arxiv.org/abs/math/0008174

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