Spectral Theory on the S-Spectrum for Quaternionic Operators

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-function...

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Bibliographic Details
Main Authors: Colombo, Fabrizio, Gantner, Jonathan (Author), Kimsey, David P. (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2018, 2018
Edition:1st ed. 2018
Series:Operator Theory: Advances and Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:IX, 356 p online resource
ISBN:9783030030742