Generalizations of harmonic functions in R^m

Abstract:

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 Rm. Being defined as the solutions of elliptic (genera-lly non-strongly elliptic) partial differential equations, (φ, ψ) -inframonogenic and (φ, ψ) -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.

Año de publicación:

2022

Keywords:

• harmonic functions
• structural sets
• Clifford analysis

Fuente:

scopus