The higher spin Laplace operator

DOI10.1007/s11118-016-9609-3zbMath1368.47035arXiv1501.03974OpenAlexW2963781862MaRDI QIDQ2014231

Matthias Roels, Hendrik De Bie, David Eelbode

Publication date: 10 August 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03974

zbMATH Keywords

fundamental solutionsharmonic analysisinvariant operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66)

Related Items

Higher spin generalisation of the Gegenbauer polynomials ⋮ Construction of arbitrary order conformally invariant operators in higher spin spaces ⋮ Integral formulas for higher order conformally invariant fermionic operators ⋮ Higher Order Fermionic and Bosonic Operators ⋮ The higher spin Laplace operator in several vector variables ⋮ Third-Order Fermionic and Fourth-Order Bosonic Operators ⋮ Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator ⋮ Some properties of the higher spin Laplace operator ⋮ Construction of special solutions for the Maxwell equations ⋮ Higher order fermionic and bosonic operators on cylinders and Hopf manifolds ⋮ Fischer decomposition of massless fields for spin 3/2 in dimension 4 ⋮ Ellipticity of some higher order conformally invariant differential operators ⋮ Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces

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