| Mean size formula of wavelet subdivision tree on Heisenberg group |
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| 作者单位： | WANG Guo-mao Department of Mathematics，Zhejiang University，Hangzhou 310027，China;Department of Mathematics，Hangzhou Dianzi University，Hangzhou 310018，China. |
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| 摘 要： | The purpose of this paper is to investigate the mean size formula of wavelet packets （wavelet subdivision tree） on Heisenberg group. The formula is given in terms of the p-norm joint spectral radius. The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed. The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.
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| 关 键 词： | 海森堡团 稳定性 细分树 均值 |
Mean size formula of wavelet subdivision tree on Heisenberg group |
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| Authors: | Guo-mao Wang |
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| Institution: | [1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China |
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| Abstract: | The purpose of this paper is to investigate the mean size formula of wavelet packets(wavelet subdivision tree) on Heisenberg group.The formula is given in terms of the p-norm joint spectral radius.The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed.The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree. |
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| Keywords: | Heisenberg group wavelet packets subdivision tree joint spectral radius stability |
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