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.
A new theory of regular functions of a quaternionic variable / G. GENTILI; D. STRUPPA. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 216:(2007), pp. 279-301. [10.1016/j.aim.2007.05.010]
A new theory of regular functions of a quaternionic variable
GENTILI, GRAZIANO;
2007
Abstract
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.
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