Gabor Frames of Totally Positive Functions: A Complete Characterization

Jaume de Dios Pont, Karlheinz Gröchenig, Lukas Liehr +2

We prove that the set of time-frequency shifts $\{e^{2\pi i\beta lt}g(t-\alpha k):k,l\in \mathbb{Z}\}$ with a continuous, integrable totally positive function $g$ and lattice parameters $α…