Spectral Theory on the S-Spectrum for Quaternionic Operators

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

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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.

Format:Hardcover

Language:English

ISBN:3030030733

ISBN13:9783030030735

Release Date:January 2019

Publisher:Birkhauser

Length:356 Pages

Weight:1.52 lbs.

Dimensions:0.8" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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Spectral Theory on the S-Spectrum for Quaternionic Operators

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