论文标题
晶体学组的小波集
Wavelet sets for crystallographic groups
论文作者
论文摘要
在所有整数扩张下，所有晶体学组在$ \ Mathbb r^2 $上的所有晶体组的作用都显示了单小波集和因此单小波。满足额外要求的此类集合的示例，即它们是凸组有限的工会，为每个膨胀的每个组都提出了两个。
Single wavelet sets, and thus single wavelets, are shown to exist for the actions of all crystallographic groups on $\mathbb R^2$ under all integer dilations. Examples of such sets satisfying the additional requirement that they are finite unions of convex sets are presented for each of the groups under dilation by two.
