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Singular Integrals and Fourier Theory on Lipschitz Boundaries (Hardcover, 1st ed. 2019)
Loot Price: R3,219
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Singular Integrals and Fourier Theory on Lipschitz Boundaries (Hardcover, 1st ed. 2019)
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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.
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