论文标题
单基因hua-radon变换及其反向
The monogenic Hua-Radon transform and its inverse
论文作者
论文摘要
单基因hua-radon变换被定义为对Lie Sphere中塑性功能的正交投影。扩展了Sabadini and Sommen的作品，J。Geom。肛门。 29（2019），2709-2737，我们确定其繁殖内核。将这种内核整合在Stiefel歧管上，产生了区域球形单基因的线性组合。使用这些单基因的再现特性，我们获得了单基因hua-radon变换的反转。
The monogenic Hua-Radon transform is defined as an orthogonal projection on holomorphic functions in the Lie sphere. Extending the work of Sabadini and Sommen, J. Geom. Anal. 29 (2019), 2709-2737, we determine its reproducing kernel. Integrating this kernel over the Stiefel manifold yields a linear combination of the zonal spherical monogenics. Using the reproducing properties of those monogenics we obtain an inversion for the monogenic Hua-Radon transform.
