In this paper we present a new definition of regularity on the space O 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 , and we develop the basic elements of a function theory on O. Particular attention is given to the structure of the zero sets of such functions.

Regular functions on the space of Cayley numbers / Gentili, Graziano; Struppa, Daniele C.. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - STAMPA. - 40 (1):(2010), pp. 225-241. [10.1216/RMJ-2010-40-1-225]

Regular functions on the space of Cayley numbers

GENTILI, GRAZIANO;
2010

Abstract

In this paper we present a new definition of regularity on the space O 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 , and we develop the basic elements of a function theory on O. Particular attention is given to the structure of the zero sets of such functions.
2010
40 (1)
225
241
Gentili, Graziano; Struppa, Daniele C.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/243461
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