Decomposition ofk-monogenic functions in superspace

DOI10.1080/17476933.2011.636149zbMath1277.30034OpenAlexW2102518908MaRDI QIDQ2855972

Yuying Qiao, Hongfen Yuan, Heju Yang

Publication date: 23 October 2013

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

Full work available at URL: https://doi.org/10.1080/17476933.2011.636149

zbMATH Keywords

superspace\(k\)-monogenic functionsPainlevé theorem

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Analysis on supermanifolds or graded manifolds (58C50) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (5)

Expansions for the Dirac operator and related operators in super spinor space ⋮ Generalized Almansi expansions in superspace ⋮ Unnamed Item ⋮ Representations of super-holomorphic functions and their applications ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE

Cites Work

• Unnamed Item
• Fourier transform and related integral transforms in superspace
• The RH boundary value problem of the \(k\)-monogenic functions
• Correct rules for Clifford calculus on superspace
• A Clifford analysis approach to superspace
• Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
• A Cauchy integral formula in superspace
• Clifford analysis with higher order kernel over unbounded domains
• Spherical harmonics and integration in superspace: II
• Cauchy integral formula and Plemelj formula of bihypermonogenic functions in real Clifford analysis
• Integration in superspace using distribution theory
• A global theory of supermanifolds
• Almansi‐type theorems in Clifford analysis
• Spherical harmonics and integration in superspace

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