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Singular Integrals and Fourier Theor...
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Li, Pengtao.
Singular Integrals and Fourier Theory on Lipschitz Boundaries
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Singular Integrals and Fourier Theory on Lipschitz Boundaries/ by Tao Qian, Pengtao Li.
作者:
Qian, Tao.
其他作者:
Li, Pengtao.
面頁冊數:
XV, 306 p. 28 illus., 6 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical analysis. -
電子資源:
https://doi.org/10.1007/978-981-13-6500-3
ISBN:
9789811365003
Singular Integrals and Fourier Theory on Lipschitz Boundaries
Qian, Tao.
Singular Integrals and Fourier Theory on Lipschitz Boundaries
[electronic resource] /by Tao Qian, Pengtao Li. - 1st ed. 2019. - XV, 306 p. 28 illus., 6 illus. in color.online resource.
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. .
ISBN: 9789811365003
Standard No.: 10.1007/978-981-13-6500-3doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Singular Integrals and Fourier Theory on Lipschitz Boundaries
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