Generalizations of harmonic functions in $${\mathbb R}^m$$
| Autor: | Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Yudier Peña Pérez |
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| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Partial differential equation Clifford algebra Structure (category theory) Harmonic (mathematics) Context (language use) Clifford analysis 30G35 Mathematics - Analysis of PDEs Harmonic function FOS: Mathematics Mathematical Physics Analysis Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Analysis and Mathematical Physics. 12 |
| ISSN: | 1664-235X 1664-2368 |
| DOI: | 10.1007/s13324-021-00620-2 |
| Popis: | 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 (generally 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. Comment: 11 pages, 2 figures, paper |
| Databáze: | OpenAIRE |
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