Singular Integrals And Fourier Theory On Lipschitz Boundaries - Qian Tao; Li Pengtao | Libro Springer 03/2019 - HOEPLI.it


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qian tao; li pengtao - singular integrals and fourier theory on lipschitz boundaries

Singular Integrals and Fourier Theory on Lipschitz Boundaries

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 03/2019
Edizione: 1st ed. 2019





Trama

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. 





Sommario

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







Altre Informazioni

ISBN:

9789811364990

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 653 gr
Formato: Copertina rigida
Illustration Notes:22 Illustrations, black and white
Pagine Arabe: 306
Pagine Romane: xv






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