关于格Gabor系统的有限线性无关性
On the finite linear independence of lattice Gabor systems
摘要：
在乘积相空间格的限制条件下，给出了P. Linnell关于格Gabor系统有限线性无关性定理在$L^2(\mathbb R^d)$中的另一种证明.我们的证明是基于随机薛定谔算子的谱理论的一个简单的参数;在一维的设置中，我们恢复了一般格的Linnell结果的全部强度。
英文摘要：
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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