Inversions for the Hua-Radon and the polarized Hua-Radon transform

DOI10.1016/j.amc.2021.126525OpenAlexW3183252963MaRDI QIDQ2246001

Teppo Mertens, Fransiscus Sommen

Publication date: 15 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09279

zbMATH Keywords

holomorphic functionsmonogenic functionsLie ballLie sphereRadon-type transforms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Radon transform (44A12) Harmonic analysis of several complex variables (32A50)

Uses Software

• DLMF

Cites Work

• Reproducing kernels for polynomial null-solutions of Dirac operators
• Segal-Bargmann transforms associated with finite Coxeter groups
• Analytic functionals on the Lie sphere
• Spherical monogenic functions and analytic functionals on the unit sphere
• Spherical monogenics on the Lie sphere
• Radon-type transforms for holomorphic functions in the Lie ball
• On regular-analytic functions with values in a Clifford-algebra
• Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko
• 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
• Almansi‐type theorems in Clifford analysis
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