Spectral Theory on the S-Spectrum for Quaternionic Operators - Couverture rigide

Livre 118 sur 132: Operator Theory: Advances and Applications

Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.

 
9783030030735: Spectral Theory on the S-Spectrum for Quaternionic Operators

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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