$n$维球面上方向小波的框架
Frames of directional wavelets on $n$-dimensional spheres
摘要：
本文的主要目的是证明从一个近似恒等式导出的（方向）小波的离散框架是存在的。此外，一种能量守恒性质的情况下，小波族是不是它自己的重建家庭。虽然一个额外的约束的频谱的小波族必须得到满足，它表明，所有的小波到目前为止，在文献中定义的具有这一属性。
英文摘要：
The major goal of the paper is to prove that discrete frames of (directional) wavelets derived from an approximate identity exist. Additionally, a kind of energy conservation property is shown to hold in the case when a wavelet family is not its own reconstruction family. Although an additional constraint on the spectrum of the wavelet family must be satisfied, it is shown that all the wavelets so far defined in the literature possess this property.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
