Radon and X-ray transforms in clifford analysis

DOI10.1080/17476938908814323zbMath0649.44004OpenAlexW1982092126MaRDI QIDQ3794686

Fransiscus Sommen

Publication date: 1989

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938908814323

zbMATH Keywords

Radon transformDirac operatorX-ray transforminversion formulaeboundary value representationClifford-Radon transformClifford algebra valued kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Functions of hypercomplex variables and generalized variables (30G35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral geometry (53C65) Clifford algebras, spinors (15A66) Spherical harmonics (33C55)

Related Items (7)

On the Szegő-Radon projection of monogenic functions ⋮ The Radon transform between monogenic and generalized slice monogenic functions ⋮ Szegö-Radon transform for hypermonogenic functions ⋮ Inversions for the Hua-Radon and the polarized Hua-Radon transform ⋮ Szegö-Radon transform for biaxially monogenic functions ⋮ The monogenic Hua-Radon transform and its inverse ⋮ Bargmann–Radon transform for axially monogenic functions

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