Perturbations of Weyl-Heisenberg frames

Abstract

We develop a usable perturbation theory for Weyl-Heisenberg frames. In particular, we prove that if (EmbTnag)m, n∈ Z is a WH-frame and h is a function which is close to g in the Wiener Amalgam space norm, then also (EmbTnah)m, n∈ Z is a WH-frame. We also prove perturbation results for the parameters a, b. © 2002 by the University of Notre Dame. All rights reserved.