On Some Modifications of the Fueter Operator

2004/12/06 by Daniel Alayon-Solarz, Daniel Alayón-Solarz, Alayon-Solarz, Daniel · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.math/0412125

openalex publication_date 2004/12/06 · arxiv created 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some classes of functions that are defined on the quaternions as solutions for a linear operator that resembles the Cauchy-Riemann conditions. Unlike the Fueter regular functions; in this case the identity function is a solution and solutions are closed under the quaternionic product.

Cited by

• Cullen-regular quaternionic functions in a Fueter operator framework

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