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Singular Integrals and Fourier Theory on Lipschitz Boundaries / by Tao Qian, Pengtao Li
版 | 1st ed. 2019. |
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出版者 | (Singapore : Springer Nature Singapore : Imprint: Springer) |
出版年 | 2019 |
大きさ | XV, 306 p. 28 illus., 6 illus. in color : online resource |
著者標目 | *Qian, Tao author Li, Pengtao author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis FREE:Analysis |
一般注記 | Singular integrals and Fourier multipliers on infinite Lipschitz curves -- Singular integral operators on closed Lipschitz curves -- Clifford analysis, Dirac operator and the Fourier transform -- Convolution singular integral operators on Lipschitz surfaces -- Holomorphic Fourier multipliers on infinite Lipschitz surfaces -- Bounded holomorphic Fourier multipliers on closed Lipschitz surfaces -- The fractional Fourier multipliers on Lipschitz curves and surfaces -- Fourier multipliers and singular integrals on Cn The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers. HTTP:URL=https://doi.org/10.1007/978-981-13-6500-3 |
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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 | 9789811365003 |
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EB00196466 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000121048 |
ISBN | 9789811365003 |
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