Gabor systems with Hermite functions of order n and oversampling greater than n+1 which are not frames
Markus Faulhuber
公開日: 2025/2/13
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.