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Fractional powers of quaternionic linear operators

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

Abstract

Fractional powers of operators aroused the interest of mathematicians in the 1960s in [36,167{169, 204, 205] and have been extensively studied since then. They have applications in the theory of semi-groups [164], they allow to de_ne interpolation spaces [113] and they provide the theoretical background for de_ning fractional evolution equations [48].

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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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