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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Supported by the National Natural Science Foundation of China (10471123; 10771190)
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Wang, Gm. Mean size formula of wavelet subdivision tree on Heisenberg group. Appl. Math. J. Chin. Univ. 23, 303–312 (2008). https://doi.org/10.1007/s11766-008-1911-4
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DOI: https://doi.org/10.1007/s11766-008-1911-4