Arkiv för Matematik

, Volume 49, Issue 2, pp 277–294

Singularities of functions of one and several bicomplex variables

Authors

    • Dipartimento di MatematicaPolitecnico di Milano
  • Irene Sabadini
    • Dipartimento di MatematicaPolitecnico di Milano
  • Daniele C. Struppa
    • Schmid College of ScienceChapman University
  • Adrian Vajiac
    • Schmid College of ScienceChapman University
  • Mihaela B. Vajiac
    • Schmid College of ScienceChapman University
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

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