A sufficient condition for affine frames with matrix dilation |
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| Authors: | Dengfeng Li Xianliang Shi |
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| Affiliation: | (1) Institute of Applied Mathematics School of Mathematics and Information Sciences, Henan University, Henan, Kaifeng, 475001, P. R. China;(2) College of Mathematics and Computer Science, Hunan Normal University, Hunan, Changsha, 410081, P. R. China |
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| Abstract: | A sufficient condition for affine frame with an arbitrary matrix dilation is pre-sented. It is based on the univariate case by Shi, and generalizes the univariate results of Shi, Casazza and Christensen from one dimension with an arbitrary real number a (a>1) dilation to higher dimension with an arbitrary expansive matrix dilation. |
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| Keywords: | frame wavelet affine frame expansive matrix dilation |
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