Click Here to Download: https://ouo.io/eNf9Ut Spectral Theory on the S-Spectrum for Quaternionic Operators By: Fabrizio Colombo; Jonathan Gantner; David P. Kimsey Publisher: Birkhäuser Print ISBN: 9783030030735, 3030030733 eText ISBN: 9783030030742, 3030030741 Copyright year: 2018 Format: PDF Available from $ 99.00 USD SKU 9783030030742 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.