The Monogenic Hua–Radon Transform and Its Inverse
نویسندگان
چکیده
The monogenic Hua–Radon transform is defined as an orthogonal projection on holomorphic functions in the Lie sphere. Extending work of Sabadini and Sommen (J Geom Anal 29:2709–2737, 2019), we determine its reproducing kernel. Integrating this kernel over Stiefel manifold yields a linear combination zonal spherical monogenics. Using properties those monogenics, obtain inversion for transform.
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2021
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-021-00749-3