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

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

Buch | Hardcover
VIII, 322 Seiten
2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-16408-9 (ISBN)
CHF 179,70 inkl. MwSt
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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).


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.

Erscheinungsdatum
Reihe/Serie Operator Theory: Advances and Applications
Zusatzinfo VIII, 322 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 655 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte evolution operators • fractional diffusion problems • fractional Fourier's law • fractional Fourier’s law • fractional powers • functional calculus • sectorial operators • S-spectrum
ISBN-10 3-030-16408-X / 303016408X
ISBN-13 978-3-030-16408-9 / 9783030164089
Zustand Neuware
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