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Analysis in Banach Spaces : Volume III: Harmonic Analysis and Spectral Theory / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 76)
版 | 1st ed. 2023. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | XXI, 826 p : online resource |
著者標目 | *Hytönen, Tuomas author van Neerven, Jan author Veraar, Mark author Weis, Lutz author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis LCSH:Fourier analysis LCSH:Harmonic analysis LCSH:Operator theory LCSH:Mathematical analysis FREE:Functional Analysis FREE:Fourier Analysis FREE:Abstract Harmonic Analysis FREE:Operator Theory FREE:Analysis |
一般注記 | 11 Singular integral operators -- 12 Dyadic operators and the T (1) theorem -- 13 The Fourier transform and multipliers -- 14 Function spaces -- 15 Bounded imaginary powers -- 16 The H∞-functional calculus revisited -- 17 Maximal regularity -- 18 Nonlinear parabolic evolution equations in critical spaces -- Appendix Q: Questions -- Appendix K: Semigroup theory revisited -- Appendix L: The trace method for real interpolation theory This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations HTTP:URL=https://doi.org/10.1007/978-3-031-46598-7 |
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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 | 9783031465987 |
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EB00226065 |
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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 | 4001093660 |
ISBN | 9783031465987 |