Bargmann–Radon transform for axially monogenic functions

DOI10.1080/17476933.2019.1684482zbMath1469.44004OpenAlexW2986499869MaRDI QIDQ5856089

Ren Hu, Tim Raeymaekers, Alí Guzmán Adán, Fransiscus Sommen

Publication date: 24 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1684482

zbMATH Keywords

Clifford analysisCauchy-Kowalewski extensionaxially monogenic functionsBargmann-Radon transform

Mathematics Subject Classification ID

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

Uses Software

• DLMF

Cites Work

• Special functions in Clifford analysis and axial symmetry
• Axial monogenic functions from holomorphic functions
• On the Bargmann-Radon transform in the monogenic setting
• Riemann-Hilbert problems for monogenic functions in axially symmetric domains
• On the Szegő-Radon projection of monogenic functions
• Integral Geometry and Radon Transforms
• On a Hilbert space of analytic functions and an associated integral transform part I
• Clifford analysis, biaxial symmetry and pseudoanalytic functions
• An extension of the radon transform to clifford analysis
• Radon and X-ray transforms in clifford analysis
• Segal-Bargmann-Fock modules of monogenic functions
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