Spectral Theory on the S-Spectrum for Quaternionic Operators (2024)

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Free Download Jonathan Gantner, David P. Kimsey, "Spectral Theory on the S-Spectrum for Quaternionic Operators"
English | 2018 | pages: 357 | ISBN: 3030030733 | PDF | 2,0 mb
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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