Rational functions and realization theory: The hyperholomorphic case
type: Item
instance of: scholarly article
title: Rational functions and realization theory: The hyperholomorphic case
zbMATH Open document ID: 1058.30041
DOI: 10.1016/S1631-073X(03)00233-4
author: Baruch Schneider
author: M. Shapiro
author: Dan Volok
author: Daniel Alpay
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-09-15T00:00:00Z
review text: In this short note the authors define rational functions in the quaternions using Fueter polynomials and the Cauchy-Kovalevskaya product. Such a rational function is realizable, if it may be represented in a certain matrix form. The principal result of the paper is, that a quaternionic function is rational if and only if it is realizable.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 1981290
zbMATH Keywords: quaternionic analysis
zbMATH Keywords: rational functions
zbMATH Keywords: representation of functions
reviewed by: Klaus Habetha
MaRDI profile type: Publication
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full work available at URL: s1631-073x(03)00233-4
OpenAlex ID: W1970072499
description: scientific article; zbMATH DE number 1981290