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Spectral Theory on the S-Spectrum for Quaternionic Operators

Jonathan Gantner, Fabrizio Colombo, David P. Kimsey, et al.

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

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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Schlagwörter

S-functional calculus, S-spectrum, spectral operators, F-functional calculus, spectral integration, slice hyperholomorphic functions, quaternionic spectral theorem