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Fabrizio Colombo & Jonathan Gantner 
Spectral Theory on the S-Spectrum for Quaternionic Operators 

Supporto
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.

€96.29
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Tabella dei contenuti

Introduction.- Slice hyperholomorphic functions.- The S-spectrum and the S-functional calculus.- Properties of the S-functional calculus for bounded operators.- The S-functional calculus for unbounded operators.- The H1 functional calculus.- The F-functional calculus for bounded operators.- The F-functional calculus for unbounded operators.- Quaternionic operators on a Hilbert space.- Spectral integrals.- The spectral theorem for bounded normal operators.- The spectral theorem for unbounded normal operators.- Spectral theorem for unitary operators.- Spectral Integration in the Quaternionic Setting.- Bounded Quaternionic Spectral Operators.
Lingua Inglese ● Formato PDF ● Pagine 356 ● ISBN 9783030030742 ● Dimensione 4.3 MB ● Casa editrice Springer International Publishing ● Città Cham ● Paese CH ● Pubblicato 2019 ● Scaricabile 24 mesi ● Moneta EUR ● ID 6805838 ● Protezione dalla copia DRM sociale

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