Fabrizio Colombo,
Jonathan Gantner,
David P. Kimsey
Springer International Publishing
e druk, 2019
9783030030735
Spectral Theory on the S-Spectrum for Quaternionic Operators
Specificaties
Gebonden, blz.
|
Engels
Springer International Publishing |
2019
ISBN13: 9783030030735
Rubricering
Onderdeel van serie
Operator Theory: Advances and Applications
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783030030735
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Inhoudsopgave
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.