Fundamental solutions for the super Laplace and Dirac operators and all their natural powers

DOI10.1016/j.jmaa.2007.06.015zbMath1143.30022arXiv0707.2862OpenAlexW2152624932MaRDI QIDQ2473979

Hendrik De Bie, Fransiscus Sommen

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2862

zbMATH Keywords

Dirac operatorsuperspaceClifford analysisfundamantal solution

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (13)

On the Radon transform and the Dirac delta distribution in superspace ⋮ Distributions and integration in superspace ⋮ Howe duality in Dunkl superspace ⋮ Unnamed Item ⋮ Fourier transform and related integral transforms in superspace ⋮ Polynomial Dirac operators in superspace ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Normalized system for the super Laplace operator ⋮ Schrödinger equation with delta potential in superspace ⋮ Hypermonogenic plane wave solutions of the Dirac equation in superspace ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace ⋮ Decomposition ofk-monogenic functions in superspace ⋮ Orthosymplectically invariant functions in superspace

Cites Work

• Correct rules for Clifford calculus on superspace
• A Clifford analysis approach to superspace
• Spherical harmonics and integration in superspace
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