The authors characterize the time-frequency sets Λ for which Gabor systems form unconditional Schauder frames in L^p(R) when p>2, prove a Balian-Low type result on the window, and establish non-existence for 1<p<2 under separation.
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Gabor unconditional bases and frames in $L^p(\mathbb{R})$
The authors characterize the time-frequency sets Λ for which Gabor systems form unconditional Schauder frames in L^p(R) when p>2, prove a Balian-Low type result on the window, and establish non-existence for 1<p<2 under separation.