Perturbations of Weyl-Heisenberg frames

Peter G. Casazza; Ole Christensen; Mark C. Lammers

Perturbations of Weyl-Heisenberg frames

Functional Analysis 2007-05-23 v1

Authors: Peter G. Casazza , Ole Christensen , Mark C. Lammers

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.

Keywords

frame theory

Cite

@article{arxiv.math/0008174,
  title  = {Perturbations of Weyl-Heisenberg frames},
  author = {Peter G. Casazza and Ole Christensen and Mark C. Lammers},
  journal= {arXiv preprint arXiv:math/0008174},
  year   = {2007}
}

Comments

12 pages

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