Spectral theory on the S-Spectrum for quaternionic operators / Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.

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Spectral theory on the S-Spectrum for quaternionic operators / Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.

9783030030742 (electronic book)
3030030741 (electronic book)
9783030030735

Cham, Switzerland : Birkhäuser, 2018.

English

1 online resource (ix, 356 pages).

10.1007/978-3-030-03074-2 doi

QA320

515/.7222

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed January 16, 2019).

Operator theory, advances and applications ; v. 270.

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