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Singular Integrals and Fourier Theory on Lipschitz Boundaries

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Paperback

General Mathematics

ISBN10: 9811365024
ISBN13: 9789811365027
Publisher: Springer Nature
Published: Oct 15 2020
Pages: 306
Weight: 1.00
Height: 0.68 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics