Spectral Theory on the S-Spectrum for Quaternionic Operators (Operator Theory: Advances and Applications, 270)

Colombo, Fabrizio, Gantner, Jonathan, Kimsey, David P.

ISBN 10: 3030030733 / ISBN 13: 9783030030735

Published by Birkhäuser, 2019

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Bibliographic Details

• Title: Spectral Theory on the S-Spectrum for Quaternionic Operators (Operator Theory: Advances and Applications, 270)
• Publisher: Birkhäuser
• Publication Date: 2019
• Language: English
• ISBN 10: 3030030733
• ISBN 13: 9783030030735
• Binding: Hardcover
• Condition: New
• Book Type: book

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Synopsis

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.