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arXiv · 1007.2002

On the finite linear independence of lattice Gabor systems

Ciprian Demeter·S. Zubin Gautam
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Abstract

In the restricted setting of product phase space lattices, we give an alternate proof of P. Linnell's theorem on the finite linear independence of lattice Gabor systems in $L^2(\mathbb R^d)$. Our proof is based on a simple argument from the spectral theory of random Schrödinger operators; in the one-dimensional setting, we recover the full strength of Linnell's result for general lattices.

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Ciprian Demeter, S. Zubin Gautam. 2011-09-02. On the finite linear independence of lattice Gabor systems. https://arxiv.org/abs/1007.2002

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