论文标题
分解小波表示壁纸组的换档
Decomposing the wavelet representation for shifts by wallpaper groups
论文作者
论文摘要
与来自二维晶体对称组$γ$的移位相关的小波组和小波表示,定义和研究了3的扩张。主要结果是将$3γ-$小波表示的明确分解为小波组的不可约表示。
The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group $Γ$ and dilations by powers of 3, are defined and studied. The main result is an explicit decomposition of the $3Γ-$wavelet representation into irreducible representations of the wavelet group.