Spectral Theory On The S-spectrum For Quaternionic Operators

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    Spectral Theory on the S-Spectrum for Quaternionic Operators
    By: Fabrizio Colombo; Jonathan Gantner; David P. Kimsey
    Publisher:
    Birkhäuser
    Print ISBN: 9783030030735, 3030030733
    eText ISBN: 9783030030742, 3030030741
    Copyright year: 2018
    Format: PDF
    Available from $ 99.00 USD
    SKU 9783030030742
    The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
     

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