Spectral Theory on the S-Spectrum for Quaternionic Operators
| Autor: | Fabrizio Colombo, Jonathan Gantner, David P. Kimsey |
|---|---|
| EAN: | 9783030030742 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 04.01.2019 |
| Kategorie: | |
| Schlagworte: | S-spectrum;S-functional calculus;F-functional calculus;quaternionic spectral theorem;spectral integration;spectral operators;slice hyperholomorphic functions |
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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.
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