Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

• Κύριοι συγγραφείς: Colombo, Fabrizio (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Gantner, Jonathan (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Operator Theory: Advances and Applications, 274
• Θέματα: Operator theory.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.