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

Baggett, Lawrence W., Merrill, Kathy D., Packer, Judith A., Taylor, Keith F.

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.

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