Inversions for the Hua-Radon and the polarized Hua-Radon transform
Classical Analysis and ODEs
2021-05-07 v2 Complex Variables
Abstract
The Hua-Radon and polarized Hua-Radon transform are two orthogonal projections defined on holomorphic functions in the Lie sphere. Both transformations can be written as integral transforms with respect to a suitable reproducing kernel. Integrating both kernels over a Stiefel manifold yields a linear combination of zonal spherical monogenics. Using an Almansi type decomposition of holomorphic functions and reproducing properties of the zonal monogenics, we obtain an inversion formula for both the Hua-Radon and the polarized Hua-Radon transform.
Keywords
Cite
@article{arxiv.2102.09279,
title = {Inversions for the Hua-Radon and the polarized Hua-Radon transform},
author = {Teppo Mertens and Frank Sommen},
journal= {arXiv preprint arXiv:2102.09279},
year = {2021}
}
Comments
22 pages, minor changes and references added