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Introduction

  • Fabrizio Colombo
  • Irene SabadiniEmail author
  • Daniele C. Struppa
Chapter
  • 267 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

This chapter contains some grounds for the study of entire slice regular functions as well as a panorama on the available literature on the function theory of slice regular functions, their applications to a functional calculus, to Schur analysis and to the quaternionic spectral theory.

Keywords

Entire Function Bergman Space Clifford Algebra Functional Calculus Monogenic Function 
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.

Notes

Acknowledgements

The first two authors are grateful to Chapman University for the kind hospitality and the support during the periods in which this work has been written. The second author thanks the project FIRB 2012 “Geometria Differenziale e Teoria Geometrica delle Funzioni” for partially supporting this research.

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
    Email author
  • Daniele C. Struppa
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

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