Polynomial Dirac operators in superspace

DOI10.1007/s00006-014-0524-7zbMath1325.35008OpenAlexW2028314342MaRDI QIDQ497171

Yuying Qiao, Hongfen Yuan, Zhi-Hai Zhang

Publication date: 23 September 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0524-7

zbMATH Keywords

fundamental solutionsuperspacepolynomial Dirac operatorCauchy-Pompeiu formula

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fundamental solutions to PDEs (35A08) Analysis on supermanifolds or graded manifolds (58C50) Linear higher-order PDEs (35G05)

Related Items (1)

Expansions for the Dirac operator and related operators in super spinor space

Cites Work

• Correct rules for Clifford calculus on superspace
• Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
• Integration in superspace using distribution theory
• Structure of solutions of polynomial Dirac equations in Clifford analysis
• Cauchy-Green Type Formulae in Clifford Analysis
• Spherical harmonics and integration in superspace
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