Reproducing kernels for polynomial null-solutions of Dirac operators

DOI10.1007/s00365-016-9326-6zbMath1354.30044arXiv1503.03969OpenAlexW2963172612MaRDI QIDQ730082

Hendrik De Bie, Michael Wutzig, Fransiscus Sommen

Publication date: 23 December 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03969

zbMATH Keywords

Dirac operatorspherical harmonicsJacobi polynomialsGegenbauer polynomialsreproducing kernelsClifford analysis

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (7)

Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator ⋮ On the Szegő-Radon projection of monogenic functions ⋮ Hermitian Clifford analysis on superspace ⋮ Higher Order Fermionic and Bosonic Operators ⋮ Fischer decomposition for massless fields of spin 1 in dimension 4 ⋮ Inversions for the Hua-Radon and the polarized Hua-Radon transform ⋮ Implementing zonal harmonics with the Fueter principle

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