The monogenic Hua-Radon transform and its inverse

DOI10.1007/S12220-021-00749-3zbMath1484.30052arXiv2011.11457OpenAlexW4206144498MaRDI QIDQ2061528

Hendrik De Bie, Teppo Mertens, Fransiscus Sommen, Denis Constales

Publication date: 15 December 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11457

zbMATH Keywords

monogenic functionsLie sphereRadon-type transforms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Radon transform (44A12)

Cites Work

• A Fourier-Borel transform for monogenic functionals
• Segal-Bargmann transforms associated with finite Coxeter groups
• Analytic functionals on the Lie sphere
• Spherical monogenics on the Lie sphere
• Radon-type transforms for holomorphic functions in the Lie ball
• Slice Fourier transform and convolutions
• On the Szegő-Radon projection of monogenic functions
• An extension of the radon transform to clifford analysis
• Radon and X-ray transforms in clifford analysis
• On the number operators of multimode systems of deformed oscillators covariant under quantum groups
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Spherical harmonics and integration in superspace
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