Gabor systems with Hermite functions of order n and oversampling greater n+1 which are not frames (2502.09510v1)

Published 13 Feb 2025 in math.FA, math-ph, and math.MP

Abstract: We show that a sufficient density condition for Gabor systems with Hermite functions over lattices is not sufficient in general. This follows from a result on how zeros of the Zak transform determine the frame property of integer over-sampled Gabor systems.

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Authors (1)

Markus Faulhuber

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