Szegö-Radon transform for biaxially monogenic functions

DOI10.1007/s00006-019-1008-6zbMath1436.44004OpenAlexW2972239474MaRDI QIDQ2010527

Ren Hu, Tim Raeymaekers, Fransiscus Sommen

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-019-1008-6

zbMATH Keywords

Clifford analysisbiaxially monogenic functionsSzegö-Radon transformVekua system

Mathematics Subject Classification ID

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

Uses Software

• DLMF

Cites Work

• The Radon transform between monogenic and generalized slice monogenic functions
• Spherical monogenic functions and analytic functionals on the unit sphere
• The Radon transform.
• Axial monogenic functions from holomorphic functions
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Clifford analysis: History and perspective
• On the Szegő-Radon projection of monogenic functions
• Integral Geometry and Radon Transforms
• Clifford analysis, biaxial symmetry and pseudoanalytic functions
• An extension of the radon transform to clifford analysis
• Radon and X-ray transforms in clifford analysis
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