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Spectral Theory on the S-Spectrum for Quaternionic Operators / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
(Operator Theory: Advances and Applications. ISSN:22964878 ; 270)
版 | 1st ed. 2018. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2018 |
本文言語 | 英語 |
大きさ | IX, 356 p : online resource |
著者標目 | *Colombo, Fabrizio author Gantner, Jonathan author Kimsey, David P author SpringerLink (Online service) |
件 名 | LCSH:Operator theory LCSH:Dynamical systems LCSH:Functional analysis FREE:Operator Theory FREE:Dynamical Systems FREE:Functional Analysis |
一般注記 | Introduction -- Slice hyperholomorphic functions -- The S-spectrum and the S-functional calculus -- Properties of the S-functional calculus for bounded operators -- The S-functional calculus for unbounded operators -- The H1 functional calculus -- The F-functional calculus for bounded operators -- The F-functional calculus for unbounded operators -- Quaternionic operators on a Hilbert space -- Spectral integrals -- The spectral theorem for bounded normal operators -- The spectral theorem for unbounded normal operators -- Spectral theorem for unitary operators -- Spectral Integration in the Quaternionic Setting -- Bounded Quaternionic Spectral Operators 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 HTTP:URL=https://doi.org/10.1007/978-3-030-03074-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030030742 |
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EB00238521 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA329-329.9 DC23:515,724 |
書誌ID | 4000120849 |
ISBN | 9783030030742 |
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※2017年9月4日以降