Solutions of the Dirac and related equations in superspace

DOI10.1080/17476933.2013.836187zbMath1295.30118OpenAlexW2058999009MaRDI QIDQ5495711

Hongfen Yuan, Yuying Qiao

Publication date: 6 August 2014

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

Full work available at URL: https://doi.org/10.1080/17476933.2013.836187

zbMATH Keywords

superspaceAlmansi type expansionnormalized systemmodified Dirac equation\(k\)-supermonogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (3)

Expansions for the Dirac operator and related operators in super spinor space ⋮ Generalized Almansi expansions in superspace ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE

Cites Work

• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Correct rules for Clifford calculus on superspace
• (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries
• A global theory of supermanifolds
• Almansi‐type theorems in Clifford analysis
• Decomposing kernels of iterated operators—a unified approach
• Almansi decompositions for polyharmonic, polyheat, and polywave functions

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