Regular Functions on the Space of Cayley Numbers

Authors

Graziano Gentili, University of FlorenceFollow
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

2010

Abstract

In this paper we present a new definition of regularity on the space Ç of Cayley numbers (often referred to as octonions), based on a Gateaux-like notion of derivative. We study the main properties of regular functions, and we develop the basic elements of a function theory on Ç. Particular attention is given to the structure of the zero sets of such functions.

Comments

This article was originally published in Rocky Mountain Journal of Mathematics, volume 40, issue 1, in 2010. DOI: 10.1216/RMJ-2010-40-1-225

Recommended Citation

Gentili, G., & Struppa, D.C. (2010). Regular functions on the space of Cayley numbers. Rocky Mountain Journal of Mathematics, 40(1), 225-241. doi: 10.1216/RMJ-2010-40-1-225

Peer Reviewed

1

Copyright

Rocky Mountain Mathematics Consortium