Spherical monogenics on the Lie sphere

DOI10.1016/0022-1236(90)90056-QzbMath0789.22021OpenAlexW2028474363MaRDI QIDQ1813941

Fransiscus Sommen

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90056-q

zbMATH Keywords

spherical harmonicsinvariant operatorsspherical meansspherical monogenicsexplicit decompositionCauchy-Hua kernelinvariant Darboux-type system

Mathematics Subject Classification ID

Radon transform (44A12) Analysis on real and complex Lie groups (22E30) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (11)

Clifford analysis on projective hyperbolic space II ⋮ On the Bargmann-Radon transform in the monogenic setting ⋮ Holomorphic functions on the Lie ball and their monogenic counterparts ⋮ Conformally invariant first order equations, their analysis and geometry ⋮ Bernstein-type Inequalities for Bicomplex Polynomials ⋮ Inversions for the Hua-Radon and the polarized Hua-Radon transform ⋮ Monogenic differential operators ⋮ Rarita-Schwinger type operators in Clifford analysis ⋮ Hyperbolic \(L_2\)-modules with reproducing kernels ⋮ The monogenic Hua-Radon transform and its inverse ⋮ Radon-type transforms for holomorphic functions in the Lie ball

Cites Work

• Special functions in Clifford analysis and axial symmetry
• Analytic functionals on the Lie sphere
• Spherical monogenic functions and analytic functionals on the unit sphere
• Complex-quaternionic analysis applied to spin–½ massless fields
• An extension of the radon transform to clifford analysis
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