**ABSTRACT**
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Approximation of the Inverse (Gabor) Frame Operator

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O. Christensen

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Department of
Mathematics, Technical University of Denmark, DK-2800, Lyngby, Denmark

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T. Strohmer

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Department of
Mathematics, University of California, Davis, CA 95616-8633, USA

When using frames in applications we are confronted with the problem of the
numerical computation of the inverse frame operator. Since in general the
frame operator is acting in an infinite-dimensional Hilbert space we have
to approximate its inverse by some finite-dimensional methods. In this chapter
we review some methods for approximation of the inverse frame
operator associated to general frames and develop more specific methods
for Gabor frames.