Perturbation of frames and applications to Gabor frames

  • Ole Christensen
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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(xna)} m,n∈ℤ of L 2(ℝ), e.g., perturbation of f or na.


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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Ole Christensen

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