Spectral Theory on the S-Spectrum for Quaternionic Operators
Autor: | Colombo, Fabrizio Gantner, Jonathan Kimsey, David P. |
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EAN: | 9783030030735 |
Auflage: | 001 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 368 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 18.01.2019 |
Schlagworte: | Analysis Analysis / Funktionalanalysis Calculus Differenzialgleichung Differenzialrechnung Dynamisches System Funktionalanalysis Funktionalanalysis und Abwandlungen Gleichung / Differenzialgleichung Nichtlinear S-functionalcalculus; F-functionalcalculus; quaternionicspectraltheorem; spectralintegration; spectraloperators; Slicehyperholomorphicfunctions Wissenschaft |
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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.