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Spectral Theory on the S-Spectrum for Quaternionic Operators

Spectral Theory on the S-Spectrum for Quaternionic Operators

Hardcover

Series: Operator Theory: Advances and Applications, Book 270

General Mathematics

ISBN10: 3030030733
ISBN13: 9783030030735
Publisher: Birkhauser
Published: Jan 18 2019
Pages: 356
Weight: 1.52
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics