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Quaternionic closed operators, fract...

Colombo, Fabrizio.

Quaternionic closed operators, fractional powers and fractional diffusion processes

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quaternionic closed operators, fractional powers and fractional diffusion processesby Fabrizio Colombo, Jonathan Gantner.
Author:	Colombo, Fabrizio.
other author:	Gantner, Jonathan.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 322 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Operator theory.
Online resource:	https://doi.org/10.1007/978-3-030-16409-6
ISBN:	9783030164096$q(electronic bk.)

Quaternionic closed operators, fractional powers and fractional diffusion processes
Colombo, Fabrizio.

Quaternionic closed operators, fractional powers and fractional diffusion processes[electronic resource] /by Fabrizio Colombo, Jonathan Gantner. - Cham :Springer International Publishing :2019. - viii, 322 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2740255-0156 ;. - Operator theory: advances and applications ;v.219..

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.

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)

ISBN: 9783030164096$q(electronic bk.)

Standard No.: 10.1007/978-3-030-16409-6doiSubjects--Topical Terms:

229156
Operator theory.

LC Class. No.: QA329 / .C656 2019

Dewey Class. No.: 515.724

Quaternionic closed operators, fractional powers and fractional diffusion processes
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505 0 $a 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.
520 $a 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)
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