Perturbation of frames and applications to Gabor frames

@inproceedings{Christensen1998PerturbationOF,
  title={Perturbation of frames and applications to Gabor frames},
  author={Ole Christensen},
  year={1998}
}
We prove a stability result for frames, with a perturbation condition that generalizes the Paley-Wiener condition used in the context of bases. We show how the result can be applied to different types of perturbations of a Gabor frame {e imbx f(x — na)} m,n∈ℤ of L 2(ℝ), e.g., perturbation of f or na.