中文摘要：

仿射框架在信号处理中有实用性．运用算子理论与时频分析，将两个二重贝塞尔序列扩充为一对对偶二重仿射框架．再由已知的一对多重贝塞尔序列添加若干个函数使它们扩充为一对对偶多重仿射框架，得到了多重Gabor框架的特征不等式．

英文摘要：

The affine frame is useful in signal processing. The two double Bessel sequences are extended into a pair of double dual affine frames by virtue of operator theory and time- frequency analysis. Moreover, The given two multiple Bessel sequences are extended into a pair of multiple dual affine frames by way of adding some functions. Meanwhile, the feature inequality for the dual multi Gabor frames is obtained