Description
Singular Integrals and Fourier Theory on Lipschitz Boundaries, 1st ed. 2019
Authors: Qian Tao, Li Pengtao
Language: EnglishSubject for Singular Integrals and Fourier Theory on Lipschitz...:
Approximative price 84.39 €
In Print (Delivery period: 15 days).
Add to cart the book of Qian Tao, Li PengtaoPublication date: 10-2020
306 p. · 15.5x23.5 cm · Paperback
Approximative price 116.04 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Qian Tao, Li PengtaoPublication date: 03-2019
Support: Print on demand
Description
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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.
States systemically the theory of singular integrals and Fourier multipliers
on the Lipschitz graphs and surfaces
Elaborates the basic framework, essential thoughts and main results
Reveals the equivalence between the operator algebra of the singular integrals, Fourier multiplier
Operators and the Cauchy-Dunford functional calculus of the Dirac operators