On quaternionic analysis and its modifications
type: Item
instance of: scholarly article
title: On quaternionic analysis and its modifications
zbMATH Open document ID: 1052.30054
DOI: 10.1007/BF03321063
author: Heinz Leutwiler
author: Peter Zeilinger
published in: Computational Methods and Function Theory
publication date: 2004-09-28T00:00:00Z
review text: Quaternionic analysis is a function theory related to the Euclidean metric in \(\mathbb R^4\), in the same way Clifford analysis is related to the Euclidean metric in an arbitrary \(\mathbb R^n\) . A few years ago the first-named author introduced a modification of the above theories based on hyperbolic metric. There exists also a theory developed by G. Laville and I. Ramodanoff which is a unification, in a sense, of both. What is being done in the paper, is a comparison of three theories with each other.
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 30A05
Mathematics Subject Classification ID: 30F45
zbMATH DE Number: 2104122
zbMATH Keywords: generalized function theory
zbMATH Keywords: quaternions
zbMATH Keywords: Dirac operator
zbMATH Keywords: hyperbolic metric
reviewed by: M. Shapiro
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03321063
OpenAlex ID: W2116348501
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description: scientific article; zbMATH DE number 2104122