Title

A New Theory of Regular Functions of a Quaternionic Variable

Document Type

Article

Publication Date

12-2007

Abstract

In this paper we develop the fundamental elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows a classical idea of Cullen, but we use a more geometric formulation to show that it is possible to build a rather complete theory. Our theory allows us to extend some important results for polynomials in the quaternionic variable to the case of power series.

Comments

This article was originally published in Advances in Mathematics, volume 216, issue 1, in December 2007. DOI: 10.1016/j.aim.2007.05.010

Peer Reviewed

1

Copyright

Academic Press