Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator

DOI10.1007/978-3-319-42529-0_8zbMath1388.30070OpenAlexW2550791646MaRDI QIDQ4637346

Tim Janssens, David Eelbode

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1007/978-3-319-42529-0_8

zbMATH Keywords

polynomial solutionshigher-spin Laplace operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

Higher spin generalisation of the Gegenbauer polynomials

Cites Work

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• Factorization of Laplace operators on higher spin representations
• Models for irreducible representations of Spin\((m)\)
• Orthogonal basis for spherical monogenics by step two branching
• Total Rarita-Schwinger operators in Clifford analysis
• Quaternionic analysis and elliptic boundary value problems
• The higher spin Laplace operator
• On the fundamental solution for higher spin Dirac operators
• Higher spin generalisation of the Gegenbauer polynomials
• Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
• On a special type of solutions of arbitrary higher spin Dirac operators
• Gegenbauer polynomials and the Fueter theorem
• Rarita-Schwinger type operators in Clifford analysis

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