Frame set for Gabor systems with Haar window

Xin-Rong Dai, Meng Zhu

We show the full structure of the frame set for the Gabor system $\mathcal{G}(g;\alpha ,\beta ):=\{e^{-2\pi im\beta \cdot }g(\cdot -n\alpha ):m,n\in \mathbb{Z}\}$ with the window being the Haar function $g=-χ_{[…