TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS

DOI10.1142/S0129167X11007021zbMath1230.30031OpenAlexW2021464270MaRDI QIDQ3021612

L. Van de Voorde, Tim Raeymaekers, David Eelbode, Fred Brackx

Publication date: 26 July 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x11007021

zbMATH Keywords

polynomial solutionsClifford analysisseveral variablesmonogenic polynomialshigher spin operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Semisimple Lie groups and their representations (22E46) Clifford algebras, spinors (15A66) Polynomial solutions to PDEs (35C11)

Related Items (3)

The monogenic Fischer decomposition: two vector variables ⋮ Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables ⋮ The polynomial null solutions of a higher spin Dirac operator in two vector variables

Cites Work

• Stein-Weiss operators and ellipticity
• Symmetric analogues of Rarita-Schwinger equations
• Clifford analysis: History and perspective
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• On a special type of solutions of arbitrary higher spin Dirac operators
• Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Rarita-Schwinger type operators in Clifford analysis

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