Extended Gaussians with Re(a)<0 have maximal frame sets for all (α,β) with αβ<1 and their Zak transforms have a unique simple zero in [0,1)^2.
Journal d’Analyse Math´ ematique, 1, 331-374, 1951
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Frame Sets and Zeros of Zak transforms of Extended Gaussians
Extended Gaussians with Re(a)<0 have maximal frame sets for all (α,β) with αβ<1 and their Zak transforms have a unique simple zero in [0,1)^2.