The monogenic Hua-Radon transform and its inverse
Classical Analysis and ODEs
2021-08-20 v2
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 (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.
Cite
@article{arxiv.2011.11457,
title = {The monogenic Hua-Radon transform and its inverse},
author = {Denis Constales and Hendrik De Bie and Teppo Mertens and Frank Sommen},
journal= {arXiv preprint arXiv:2011.11457},
year = {2021}
}
Comments
30 pages, minor revisions added