The main purpose of the paper is to give a characterization of all compactly supported dual windows of a Gabor frame. As an application, we consider an iterative procedure for approximation of the canonical dual window via compactly supported dual windows on every step. In particular, the procedure allows to have approximation of the canonical dual window via dual windows from certain modulation spaces or from the Schwartz space.

中文翻译：

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关于 Gabor 框架的紧凑支撑双窗口

本文的主要目的是给出 Gabor 框架的所有紧支撑双窗的特征。作为一个应用程序，我们考虑了一个迭代过程，通过每个步骤的紧凑支持的双窗口来逼近规范双窗口。特别是，该过程允许通过来自某些调制空间或 Schwartz 空间的双窗口来近似规范双窗口。