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Sufficient Conditions for Irregular Wavelet Frames
Authors:Zhijing Zhao
Affiliation:Department of Mathematics and LPMC , Nankai University , Tianjin, China
Abstract:Finding verifiable conditions for wavelet systems to be wavelet frames is among the core problems in wavelet analysis. In this paper, we give some simple and sufficient conditions that ensure a multidimensional irregular wavelet system to be a frame or a weighted frame. Quantitative results are provided, and explicit frame bounds are given.
Keywords:Irregular wavelet frames  Wavelet frames  Wavelets  Weighted frames
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