Spectral Theory on the S-Spectrum for Quaternionic Operators
Author | : Fabrizio Colombo |
Publisher | : Springer |
Total Pages | : 357 |
Release | : 2019-01-04 |
ISBN-10 | : 9783030030742 |
ISBN-13 | : 3030030741 |
Rating | : 4/5 (42 Downloads) |
Book excerpt: 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.