Generalized super Gabor duals with bounded invertible operators

Qiaofang Lian () and Zhao Wang ()
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Qiaofang Lian: Beijing Jiaotong University
Zhao Wang: Beijing Jiaotong University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 413-430

Abstract: Abstract In this paper, we introduce generalized super Gabor duals with bounded invertible operators by combining ideas concerning super Gabor frames with the idea of g-duals as proposed by Dehgham and Fard in 2013. Given a super Gabor frame and a bounded invertible operator A, we characterize its generalized super Gabor duals with A, and derive a parametric expression of all its generalized super Gabor duals with A. The perturbation of generalized super Gabor duals is considered as well.

Keywords: Super Gabor frame; generalized super Gabor duals with A; perturbation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0277-4

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