Frame Sets and Zeros of Zak transforms of Extended Gaussians

Wenchang Sun, Weiqi Zhou

Let $a,b,c\in \mathbb{C}$ with $\re(a)<0$, we show that the extended Gaussian $e^{a{x}^2+bx+c}$ has maximal frame set (i.e., its frame set consists of precisely all positive pairs $(α…