Bibliograph

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes, by Fabrizio Colombo, Jonathan Gantner

Type

Label

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes, by Fabrizio Colombo, Jonathan Gantner

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1115106918

Responsibility statement

by Fabrizio Colombo, Jonathan Gantner

Series statement

Operator Theory: Advances and Applications,, 274, 0255-0156Springer eBooks.

Summary

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).--, Provided by publisher

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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