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Slice monogenic functions

  • Fabrizio ColomboEmail author
  • Irene Sabadini
  • Daniele C. Struppa
Chapter
Part of the Progress in Mathematics book series (PM, volume 289)

Abstract

Clifford algebras will be the setting in which we will work throughout this book. They were introduced under the name of geometric algebras by Clifford in 1878. Since then, several people have extensively studied them and nowadays there are, in the literature, several possible ways to introduce Clifford algebras: for example one can use exterior algebras, or present them as a quotient of a tensor algebra or by means of a universal property (see [23], [31], [34], or [75] for a survey on the various possible definitions). In this book, we will adopt an equivalent but more direct approach, using generators and relations.

Keywords

Power Series Holomorphic Function Real Axis Jordan Curve Representation Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Fabrizio Colombo
    • 1
    Email author
  • Irene Sabadini
    • 1
  • Daniele C. Struppa
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Schmid College of ScienceChapman UniversityOrangeUSA

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