Arkiv för Matematik

, Volume 49, Issue 2, pp 277–294

Singularities of functions of one and several bicomplex variables

  • Fabrizio Colombo
  • Irene Sabadini
  • Daniele C. Struppa
  • Adrian Vajiac
  • Mihaela B. Vajiac
Article

DOI: 10.1007/s11512-010-0126-0

Cite this article as:
Colombo, F., Sabadini, I., Struppa, D.C. et al. Ark Mat (2011) 49: 277. doi:10.1007/s11512-010-0126-0
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Abstract

In this paper we study the singularities of holomorphic functions of bicomplex variables introduced by G. B. Price (An Introduction to Multicomplex Spaces and Functions, Dekker, New York, 1991). In particular, we use computational algebra techniques to show that even in the case of one bicomplex variable, there cannot be compact singularities. The same techniques allow us to prove a duality theorem for such functions.

Copyright information

© Institut Mittag-Leffler 2010

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
  • Daniele C. Struppa
    • 2
  • Adrian Vajiac
    • 2
  • Mihaela B. Vajiac
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Schmid College of ScienceChapman UniversityOrangeU.S.A.