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Spectral Theory on the S-Spectrum for Quaternionic Operators. 2018 ed..
・ISBN 978-3-030-03073-5 hard EUR 99.99
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| 著者・編者 | Colombo, Fabrizio / Gantner, Jonathan / Kimsey, David P., |
|---|---|
| シリーズ | Operator Theory: Advances and Applications |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 356 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14805＞ |
解説
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.