Monogenic differential operators
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Publication:1205495
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
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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