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Spectral Theory on the S-Spectrum for Quaternionic Operators

Operator Theory: Advances and Applications 270

Format: Hardback
Publisher: Springer Nature Switzerland AG, Cham, Switzerland
Published: 18th Jan 2019
Dimensions: w 156mm h 234mm d 21mm
Weight: 692g
ISBN-10: 3030030733
ISBN-13: 9783030030735
Barcode No: 9783030030735
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Synopsis
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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