论文标题
两个加上一维连续小波变换
A Two Plus One Dimensional Continuous Wavelet Transform
论文作者
论文摘要
$ \ mathbb {r}^2 $的可逆仿射转换的组$ g_2 $具有一个正方形的一个正面形式。提出了对该表示形式的两个新的实现,并得出了新型连续小波变换,该变换作用于两个加一个变量的函数。
The group $G_2$ of invertible affine transformations of $\mathbb{R}^2$ has, up to equivalence, one square--integrable representation. Two new realizations of this representation are presented and novel continuous wavelet transforms, acting on functions of two plus one variables, are derived.