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Spectral Theory on the S-Spectrum for Quaternionic Operators
Fabrizio ColomboJonathan GantnerDavid P. Kimsey
出版Springer, 2019-01-04
主題Mathematics / Functional AnalysisMathematics / Mathematical AnalysisMathematics / Linear & Nonlinear Programming
ISBN30300307419783030030742
URLhttp://books.google.com.hk/books?id=Go2CDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.