Automorphisms of Clifford algebra and strong regular functions
type: Item
instance of: scholarly article
title: Automorphisms of Clifford algebra and strong regular functions
zbMATH Open document ID: 0814.30029
author: S. P. Kuznetsov
author: V. V. Mochalov
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: A Clifford \(\Delta\)-algebra is introduced as a special normed \(C_{p,q}\) Clifford algebra of rank \(m= 2^ n\) (\(n=p+q\)). Then the authors introduce the concepts of a function with values in the Clifford algebra and for the Clifford \(\Delta\)-algebras they introduce two concepts of strong regular functions respectively by definition 1 and definiton 2. Then, they prove that in Clifford \(\Delta\)-algebras both concepts of strong regularity are equivalent. They also present two beautiful theorems (4 and 5) concerning the regular functions.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 640186
zbMATH Keywords: Clifford algebra valued functions
zbMATH Keywords: strong regular functions
reviewed by: Waldyr A. jun. Rodrigues
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 640186