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Singular integrals and fourier theory on Lipschitz boundaries

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 Lips...

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Detalles Bibliográficos
Autores principales: Qian, Tao, Li, Pengtao
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-981-13-6500-3
http://cds.cern.ch/record/2670557
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author Qian, Tao
Li, Pengtao
author_facet Qian, Tao
Li, Pengtao
author_sort Qian, Tao
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-26705572021-04-21T18:26:49Zdoi:10.1007/978-981-13-6500-3http://cds.cern.ch/record/2670557engQian, TaoLi, PengtaoSingular integrals and fourier theory on Lipschitz boundariesMathematical Physics and MathematicsThe 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. .Springeroai:cds.cern.ch:26705572019
spellingShingle Mathematical Physics and Mathematics
Qian, Tao
Li, Pengtao
Singular integrals and fourier theory on Lipschitz boundaries
title Singular integrals and fourier theory on Lipschitz boundaries
title_full Singular integrals and fourier theory on Lipschitz boundaries
title_fullStr Singular integrals and fourier theory on Lipschitz boundaries
title_full_unstemmed Singular integrals and fourier theory on Lipschitz boundaries
title_short Singular integrals and fourier theory on Lipschitz boundaries
title_sort singular integrals and fourier theory on lipschitz boundaries
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-981-13-6500-3
http://cds.cern.ch/record/2670557
work_keys_str_mv AT qiantao singularintegralsandfouriertheoryonlipschitzboundaries
AT lipengtao singularintegralsandfouriertheoryonlipschitzboundaries