论文标题
$λ$ -Cosine Transforms，差异操作员和Funk Transform在Stiefel和Grassmann歧管上变换
The $λ$-Cosine Transforms, Differential Operators, and Funk Transforms on Stiefel and Grassmann Manifolds
论文作者
论文摘要
我们介绍了一个新的不变差分运算师家族，与$λ$ - cosine和Funk-Radon Transforms在Stiefel和Grassmann歧管上转变。这些操作员降低了$λ$ - 座环转换的顺序，并产生新的反转公式。研究了与较低等级矩阵积分相对应的中间放克骨膜变换。主要工具是矩阵空间上的极性分解和傅立叶分析。
We introduce a new family of invariant differential operators associated with $λ$-cosine and Funk-Radon transforms on Stiefel and Grassmann manifolds. These operators reduce the order of the $λ$-cosine transforms and yield new inversion formulas. Intermediate Funk-cosine transforms corresponding to integration over matrices of lower rank are studied. The main tools are polar decomposition and Fourier analysis on matrix space.
