On compactly supported dual windows of Gabor frames

• DOI: 10.1016/j.jmaa.2021.125436
• Publication Date: 2021-06-29T04:01:35Z
• Authors: Diana T. Stoeva
• Keywords: Mathematics - Functional Analysis; 42C15; FOS: Mathematics; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; 0101 mathematics; 01 natural sciences; Functional Analysis (math.FA)

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.