Abstract
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 29:2709–2737, 2019), 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.
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