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On the finite linear independence of lattice Gabor systems (1007.2002v2)
Published 12 Jul 2010 in math.CA and math.FA
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 $L2(\mathbb Rd)$. Our proof is based on a simple argument from the spectral theory of random Schr\"odinger operators; in the one-dimensional setting, we recover the full strength of Linnell's result for general lattices.
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