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Preliminary results

  • Fabrizio Colombo
  • Jonathan Gantner
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 274)

Abstract

This chapter contains two main topics: the theory of slice hyperholomorphic functions and the S-functional calculus for bounded quaternionic operators. We limit ourselves to recalling the results we need in this book. For the proofs of the main theorems, we refer the reader to [57], which currently contains the completest version of quaternionic spectral theory.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Jonathan Gantner
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

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