Rarita–Schwinger fields in the half space

DOI10.1080/17476930500482614zbMath1117.30041OpenAlexW2115031277MaRDI QIDQ3423511

Peter Van Lancker

Publication date: 14 February 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930500482614

zbMATH Keywords

Dirac operatorboundary valuesClifford analysis\(H^p\)-spacesRarita-Schwinger operatorFourier tramsform

Mathematics Subject Classification ID

Related Items (10)

Some operators associated with Rarita–Schwinger type operators ⋮ Factorization of Laplace operators on higher spin representations ⋮ Some Rarita-Schwinger type operators ⋮ Rarita-Schwinger type operators on cylinders ⋮ The polynomial null solutions of a higher spin Dirac operator in two vector variables ⋮ Total Rarita-Schwinger operators in Clifford analysis ⋮ Polynomial invariants for the rarita-schwinger operator ⋮ Hermitian generalization of the Rarita-Schwinger operators ⋮ Plemelj formulas for Rarita-Schwinger type operators ⋮ Quaternionic Hermitian spinor systems and compatibility conditions

Cites Work

• Models for irreducible representations of Spin\((m)\)
• Spherical monogenic functions and analytic functionals on the unit sphere
• Reproducing kernels and conformal mappings in \(\mathbb{R}^n\)
• Stein-Weiss operators and ellipticity
• Symmetric analogues of Rarita-Schwinger equations
• The rarita—schwinger operator and spherical monogenic forms
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Rarita-Schwinger type operators in Clifford analysis

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