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Singular Integrals and Fourier Theory on Lipschitz Boundaries
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Singular Integrals and Fourier Theory on Lipschitz Boundaries ([EBook] /) / by Tao Qian, Pengtao Li.
Author
Qian, Tao
Added Personal Name
Li, Pengtao
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Singapore : : Springer Singapore : : Imprint: Springer, , 2019.
Physical Details
XV, 306 p. 28 illus., 6 illus. in color. : online resource.
ISBN
9789811365003
Summary Note
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. .:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-981-13-6500-3
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Authors:
author
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Li, Pengtao
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Qian, Tao
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515
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