Spectral Theory on the S-Spectrum for Quaternionic Operators - Colombo, Fabrizio;Gantner, Jonathan;Kimsey, David P.
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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. …mehr

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Produktbeschreibung
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.
Autorenporträt
Daniel Alpay, Foster G. and Mary McGaw Professorship in Mathematical Sciences, Chapman University Fabrizio Colombo is professor at the Politecnico di Milano, Italy. Irene Sabadini is professor at the Politecnico di Milano, Italy.