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On compactly supported dual windows of Gabor frames

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: dual windows; gabor frames; compactly supported; supported dual; windows gabor

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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