Spectral Theory on the S-Spectrum for Quaternionic Operators
Jonathan Gantner, Fabrizio Colombo, David P. Kimsey, et al.
Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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.
Kundenbewertungen
S-functional calculus, S-spectrum, spectral operators, F-functional calculus, spectral integration, slice hyperholomorphic functions, quaternionic spectral theorem