Automorphisms of Clifford algebra and strong regular functions
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.
scientific article; zbMATH DE number 640186
scientific article