%0 Journal Article %T Gabor Dual Frames with Characteristic Function Window %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Hasankhani Fard, Mohammad Ali %D 2021 %\ 02/01/2021 %V 18 %N 1 %P 47-57 %! Gabor Dual Frames with Characteristic Function Window %K ‎Frame %K Dual frame %K Gabor system %K Gabor frame‎ %R 10.22130/scma.2020.121704.751 %X The 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 $\left(\chi_{\left[c_1,d_1\right)},a,b\right)$ and $\left(\chi_{\left[c_2,d_2\right)},a,b\right)$ to form dual frames for $L_2\left(\mathbb{R}\right)$, where $a$ and $b$ are positive numbers and $c_1,c_2,d_1$ and $d_2$ are real numbers such that $c_1