In this Note we announce the basic elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows an idea of Cullen, but we use a more geometric approach to show that it is possible to build a rather complete theory.
A new approach to Cullen-regular functions of a quaternionic variable / G. GENTILI; D. STRUPPA. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 342:(2006), pp. 741-744. [10.1016/j.crma.2006.03.015]
A new approach to Cullen-regular functions of a quaternionic variable
GENTILI, GRAZIANO;
2006
Abstract
In this Note we announce the basic elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows an idea of Cullen, but we use a more geometric approach to show that it is possible to build a rather complete theory.
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