Almansi decomposition of polynomials of quaternionic Dirac operators

DOI10.1063/5.0149554MaRDI QIDQ6183538

Guang Bin Ren, Unnamed Author

Publication date: 4 January 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

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• Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis
• Howe duality in Dunkl superspace
• Almansi decomposition for poly-ultrahyperbolic functions
• An introduction to operator polynomials
• Quantum mechanics: From complex to complexified quaternions
• Gelfand-Tsetlin bases for spherical monogenics in dimension 3
• Quaternionic analysis and elliptic boundary value problems
• Almansi decomposition for Dunkl operators
• (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries
• Clifford analysis for finite reflection groups
• Complex Dunkl operators
• Structure of solutions of polynomial Dirac equations in Clifford analysis
• Almansi‐type theorems in Clifford analysis
• SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN–DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS
• Direct and Inverse Sturm-Liouville Problems
• Almansi decompositions for polyharmonic, polyheat, and polywave functions

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