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Titlebook: Spectral Theory on the S-Spectrum for Quaternionic Operators; Fabrizio Colombo,Jonathan Gantner,David P. Kimsey Book 2018 Springer Nature

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书目名称Spectral Theory on the S-Spectrum for Quaternionic Operators
编辑Fabrizio Colombo,Jonathan Gantner,David P. Kimsey
视频videohttp://file.papertrans.cn/874/873892/873892.mp4
概述Presents original research previously unpublished.Closes a gap in research.Develops quaternionic spectral theory
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Spectral Theory on the S-Spectrum for Quaternionic Operators;  Fabrizio Colombo,Jonathan Gantner,David P. Kimsey Book 2018 Springer Nature
描述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..
出版日期Book 2018
关键词S-spectrum; S-functional calculus; F-functional calculus; quaternionic spectral theorem; spectral integr
版次1
doihttps://doi.org/10.1007/978-3-030-03074-2
isbn_ebook978-3-030-03074-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Spectral Theorem for Unitary Operators, in the complex case, the spectral theorem for unitary operators can be deduced from the quaternionic version of Herglotz’s theorem proved in [16]. The spectral theorem for unitary operators based on Herglotz’s theorem was proved in [14].
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Book 2018contained 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
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