Spectral Theory on the S-Spectrum for Quaternionic Operators

Spectral Theory on the S-Spectrum for Quaternionic Operators
Author :
Publisher : Springer
Total Pages : 357
Release :
ISBN-10 : 9783030030742
ISBN-13 : 3030030741
Rating : 4/5 (741 Downloads)

Book Synopsis Spectral Theory on the S-Spectrum for Quaternionic Operators by : Fabrizio Colombo

Download or read book Spectral Theory on the S-Spectrum for Quaternionic Operators written by Fabrizio Colombo and published by Springer. This book was released on 2019-01-04 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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