Regular Functions On The Space Of Cayley Numbers,
2010
University of Florence
Regular Functions On The Space Of Cayley Numbers, Graziano Gentili, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
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.
