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Functional Analysis and the Feynman Operator Calculus / by Tepper Gill, Woodford Zachary
版 | 1st ed. 2016. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2016 |
大きさ | XIX, 354 p. 3 illus. in color : online resource |
著者標目 | *Gill, Tepper author Zachary, Woodford author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis LCSH:Mathematical physics LCSH:Operator theory FREE:Functional Analysis FREE:Mathematical Methods in Physics FREE:Operator Theory |
一般注記 | Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers HTTP:URL=https://doi.org/10.1007/978-3-319-27595-6 |
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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 | 9783319275956 |
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EB00202532 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000118835 |
ISBN | 9783319275956 |
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※2017年9月4日以降