Generalized super Gabor duals with bounded invertible operators |
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Authors: | Qiaofang Lian Zhao Wang |
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Affiliation: | 1.Department of Mathematics,Beijing Jiaotong University,Beijing,P. R. China |
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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. |
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