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010   $a981-13-6500-8
024 7 $a10.1007/978-981-13-6500-3
035   $a(CKB)4100000008876702
035   $a(DE-He213)978-981-13-6500-3
035   $a(MiAaPQ)EBC5739656
035   $a(PPN)235230324
035   $a(EXLCZ)994100000008876702
100   $a20190320d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aSingular Integrals and Fourier Theory on Lipschitz Boundaries /$fby Tao Qian, Pengtao Li
205   $a1st ed. 2019.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019.
215   $a1 online resource (XV, 306 p. 28 illus., 6 illus. in color.) 
311   $a981-13-6499-0 
327   $aSingular 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.
330   $aThe 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. .
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615 14$aAnalysis.
676   $a515
700   $aQian$b Tao$4aut$4http://id.loc.gov/vocabulary/relators/aut$0782104
702   $aLi$b Pengtao$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910350246503321
996   $aSingular Integrals and Fourier Theory on Lipschitz Boundaries$92507544
997   $aUNINA