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A Complex Geometric Approach to the Discrete Gabor Transform and Localization Operators on the Flat Torus
In a recent paper, the discrete Gabor transform was connected to a Gabor transform with a time frequency domain given by the flat torus. We show that the corresponding Bargmann-Fock spaces can be expressed as theta functions (or equivalently line bundles on Abelian varieties). We give applications o
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