Spectral Theory On The S-Spectrum For Quaternionic Operators (Operator Theory: Advances And Applications, 270)

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.

• | Author: Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
• | Publisher: Birkhäuser
• | Publication Date: Jan 18, 2019
• | Number of Pages: 365 pages
• | Language: English
• | Binding: Hardcover
• | ISBN-10: 3030030733
• | ISBN-13: 9783030030735