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Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes de Fabrizio Colombo

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes: Operator Theory: Advances and Applications, cartea 274

Autor Fabrizio Colombo, Jonathan Gantner
en Limba Engleză Paperback – 14 aug 2020
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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Specificații

ISBN-13: 9783030164119
ISBN-10: 303016411X
Pagini: 322
Ilustrații: VIII, 322 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.51 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Operator Theory: Advances and Applications

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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).

Caracteristici

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