论文标题
在单位球体上的Lambda-Cosine和Funk Transform逆转的傅立叶变换方法
The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere
论文作者
论文摘要
我们使用经典的傅立叶分析在单位球体上引入加权差分运算符的分析家族。这些操作员是通常的Beltrami-Laplace操作员的多项式函数。对于在球体和Correpsonding lambda-Cosine转换上的完全测量的放克转换获得了新的反转公式。
We use the classical Fourier analysis to introduce analytic families of weighted differential operators on the unit sphere. These operators are polynomial functions of the usual Beltrami-Laplace operator. New inversion formulas are obtained for totally geodesic Funk transforms on the sphere and the correpsonding lambda-cosine transforms.
