Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
Author:   Fabrizio Colombo ,  Jonathan Gantner
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   274
ISBN:  

9783030164089


Pages:   322
Publication Date:   25 July 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes


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Overview

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).

Full Product Details

Author:   Fabrizio Colombo ,  Jonathan Gantner
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   274
Weight:   0.664kg
ISBN:  

9783030164089


ISBN 10:   303016408
Pages:   322
Publication Date:   25 July 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Preliminary results.- The direct approach to the S-functional calculus.- The Quaternionic Evolution Operator.- Perturbations of the generator of a group.- The Phillips-functional calculus.- The H-Infinity -Functional Calculus.- Fractional powers of quaternionic linear operators.- The fractional heat equation using quaternionic techniques.-Applications to fractional diffusion- Historical notes and References.- Appendix: Principles of functional Analysis.

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