中文摘要：

这篇论文的目的是在海森堡组上调查小浪包(小浪分树) 的吝啬的尺寸公式。公式以 p 标准关节被给光谱半径。海森堡组上的海森堡组和分树上的向量精炼方程被讨论。小浪包的吝啬的尺寸公式能被用来描述分树的标准的 asymptotic 行为。

英文摘要：

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.