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math.FA2024
A Complex Geometric Approach to the Discrete Gabor Transform and Localization Operators on the Flat Torus
Johannes Testorf
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-Foc…
math.FA2024
On the transcendentality condition for Gaussian Gabor frames and Hermite super/multiwindow frames
Franz Luef, Johannes Testorf, Xu Wang
We give a criterion for higher-dimensional Gaussian Gabor frames, which is a reformulation of one of the main results in in a previous article by the first and last authors in more…