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Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

  • Fabrizio Colombo
  • Jonathan Gantner
Book

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Fabrizio Colombo, Jonathan Gantner
    Pages 1-15
  3. Fabrizio Colombo, Jonathan Gantner
    Pages 17-44
  4. Fabrizio Colombo, Jonathan Gantner
    Pages 45-104
  5. Fabrizio Colombo, Jonathan Gantner
    Pages 105-131
  6. Fabrizio Colombo, Jonathan Gantner
    Pages 133-150
  7. Fabrizio Colombo, Jonathan Gantner
    Pages 151-172
  8. Fabrizio Colombo, Jonathan Gantner
    Pages 173-211
  9. Fabrizio Colombo, Jonathan Gantner
    Pages 213-250
  10. Fabrizio Colombo, Jonathan Gantner
    Pages 251-265
  11. Fabrizio Colombo, Jonathan Gantner
    Pages 267-284
  12. Fabrizio Colombo, Jonathan Gantner
    Pages 285-300
  13. Fabrizio Colombo, Jonathan Gantner
    Pages 301-306
  14. Back Matter
    Pages 307-322

About this book

Introduction

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).

Keywords

S-spectrum functional calculus sectorial operators evolution operators fractional powers fractional diffusion problems fractional Fourier’s law

Authors and affiliations

  • Fabrizio Colombo
    • 1
  • Jonathan Gantner
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-16409-6
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-16408-9
  • Online ISBN 978-3-030-16409-6
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • Buy this book on publisher's site