In recent works, arbitrary structural sets in the non-commutative Clifford analysis context have been used to introduce non-trivial generalizations of harmonic Clifford algebra valued functions in \({\mathbb R}^m\). Being defined as the solutions of elliptic (genera-lly non-strongly elliptic) partial differential equations, \((\varphi ,\psi )\)-inframonogenic and \((\varphi ,\psi )\)-harmonic functions do not share the good structure and properties of the harmonic ones. The aim of this paper it to show and clarified the relationship between these classes of functions.

中文翻译：

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$${\mathbb R}^m$$ R m 中调和函数的推广

在最近的工作中，非交换 Clifford 分析上下文中的任意结构集已被用于在\({\mathbb R}^m\) 中引入调和 Clifford 代数值函数的非平凡推广。被定义为椭圆（一般非强椭圆）偏微分方程的解，\((\varphi ,\psi )\) -inframonogenic 和\((\varphi ,\psi )\) -谐波函数不共享谐波的良好结构和性能。本文的目的是展示和阐明这些类函数之间的关系。