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The Cauchy-Fueter System and Its Variations

  • Fabrizio Colombo
  • Irene Sabadini
  • Franciscus Sommen
  • Daniele C. Struppa
Part of the Progress in Mathematical Physics book series (PMP, volume 39)

Abstract

In this section we introduce the main results for regular functions of one quaternionic variable. This material is purely instrumental since it is needed as background to develop the theory of quaternionic hyperfunctions in one variable. Therefore we give an overview of the theory without proofs, for which we give references pointing out the main differences and the similarities with the theory of holomorphic functions in one complex variable.

Keywords

Regular Function Regular Sequence Minimal Free Resolution Frechet Space Nonzero Divisor 
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 Science+Business Media New York 2004

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
  • Franciscus Sommen
    • 2
  • Daniele C. Struppa
    • 3
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Faculty of Engineering Department of Mathematical AnalysisGhent UniversityGhentBelgium
  3. 3.Department of Mathematical SciencesGeorge Mason UniversityFairfaxUSA

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