Holomorphy in Multicomplex Spaces

Conference paper

DOI: 10.1007/978-3-0348-0297-0_37

Part of the Operator Theory: Advances and Applications book series (OT, volume 221)
Cite this paper as:
Struppa D.C., Vajiac A., Vajiac M.B. (2012) Holomorphy in Multicomplex Spaces. In: Arendt W., Ball J., Behrndt J., Förster KH., Mehrmann V., Trunk C. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Operator Theory: Advances and Applications, vol 221. Birkhäuser, Basel

Abstract

In this paper we extend our research on bicomplex holomorphy and on the existence of bicomplex differential operators to the nested space of multicomplex numbers.S pecifically, we will discuss the different sets of idempotent representations for multicomplex numbers and we will use them to develop a theory of holomorphic and multicomplex analytic functions.

Keywords

Bicomplex algebra PDE systems computational algebra resolutions syzygy 

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Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

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