University of MaraghehSahand Communications in Mathematical Analysis2322-580718120210201Gabor Dual Frames with Characteristic Function Window47574666610.22130/scma.2020.121704.751ENMohammad AliHasankhani FardDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 546, Rafsanjan, Iran.Journal Article20200326The duals of Gabor frames have an essential role in reconstruction of signals. In this paper we find a necessary and sufficient condition for two Gabor systems $left(chi_{left[c_1,d_1right)},a,bright)$ and $left(chi_{left[c_2,d_2right)},a,bright)$ to form dual frames for $L_2left(mathbb{R}right)$, where $a$ and $b$ are positive numbers and $c_1,c_2,d_1$ and $d_2$ are real numbers such that $c_1<d_1$ and $c_2<d_2$.https://scma.maragheh.ac.ir/article_46666_d613662078ce4df44a79d834be6b2f64.pdf