A new theory of regular functions of a quaternionic variable

• Autores: Graziano Gentili, Daniele C. Struppa
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 216, Nº 1, 2007, págs. 279-301
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.05.010
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• Resumen

  • 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.