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Birkhäuser

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

  • Book
  • © 2019

Overview

  • Contains a new theory for evolution operators
  • Allows defining new classes of fractional diffusion and evolution problems
  • Inspires to explore new research directions

Part of the book series: Operator Theory: Advances and Applications (OT, volume 274)

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Table of contents (12 chapters)

Keywords

About this book

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. 

These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields.

This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey  (Operator Theory: Advances and Applications, Vol. 270).


Authors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Fabrizio Colombo, Jonathan Gantner

Bibliographic Information

  • Book Title: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

  • Authors: Fabrizio Colombo, Jonathan Gantner

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-16409-6

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-16408-9Published: 25 July 2019

  • Softcover ISBN: 978-3-030-16411-9Published: 14 August 2020

  • eBook ISBN: 978-3-030-16409-6Published: 10 July 2019

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VIII, 322

  • Topics: Operator Theory

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