Singular Integrals and Fourier Theory on Lipschitz Boundaries

Qian, Tao, Li, Pengtao

ISBN 10: 9811364990 / ISBN 13: 9789811364990

Published by Springer, 2019

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New. Seller Inventory # ERICA80098113649906

Bibliographic Details

Title: Singular Integrals and Fourier Theory on ...

Publisher: Springer

Publication Date: 2019

Binding: Hardcover

Condition: New

Book Type: book

About this title

Synopsis:

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.