Monogenic differential operators

DOI10.1007/BF03323123zbMath0765.30033OpenAlexW1975663744MaRDI QIDQ1205495

N. Van Acker, Fransiscus Sommen

Publication date: 1 April 1993

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323123

zbMATH Keywords

invariant differential operatorsClifford analysisFisher decomposition

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (12)

Almansi‐type theorems in Clifford analysis ⋮ Decomposing kernels of iterated operators—a unified approach ⋮ Explicit solutions of the inhomogeneous Dirac equation ⋮ The monogenic Fischer decomposition: two vector variables ⋮ Conformally invariant first order equations, their analysis and geometry ⋮ Spinor-valued \(L^2\)-spaces on \(S^{m-1}\) and representations of \(\mathrm{Spin}^+(1,m)\) ⋮ Hypermonogenic functions of two vector variables ⋮ Clifford-Hermite-monogenic operators ⋮ Differential Equations in Algebras ⋮ Rarita-Schwinger type operators in Clifford analysis ⋮ Unnamed Item ⋮ Clifford analysis in two and several vector variables

Cites Work

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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Spherical monogenic functions and analytic functionals on the unit sphere
• Spherical monogenics on the Lie sphere
• On the harmonic and monogenic decomposition of polynomials
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

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