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2.3 Singular Integrals on Starlike Lipschitz Curves2.4 Holomorphic Hinfty-Functional Calculus on Starlike Lipschitz Curves; 2.5 Remarks; References; 3 Clifford Analysis, Dirac Operator and the Fourier Transform; 3.1 Preliminaries on Clifford Analysis; 3.2 Monogenic Functions on Sectors; 3.3 Fourier Transforms on the Sectors; 3.4 Möbius Covariance of Iterated Dirac Operators; 3.5 The Fueter Theorem; 3.6 Remarks; References; 4 Convolution Singular Integral Operators on Lipschitz Surfaces; 4.1 Clifford-Valued Martingales; 4.2 Martingale Type T(b) Theorem

6.4 The Analogous Theory in mathbbRn6.5 Hilbert Transforms on the Sphere and Lipschitz Surfaces; 6.6 Remarks; References; 7 The Fractional Fourier Multipliers on Lipschitz Curves and Surfaces; 7.1 The Fractional Fourier Multipliers on Lipschitz Curves; 7.2 Fractional Fourier Multipliers on Starlike Lipschitz Surfaces; 7.3 Integral Representation of Sobolev-Fourier Multipliers; 7.4 The Equivalence of Hardy-Sobolev Spaces; 7.5 Remarks; References; 8 Fourier Multipliers and Singular Integrals on mathbbCn; 8.1 A Class of Singular Integral Operators on the n-Complex Unit Sphere

8.2 Fractional Multipliers on the Unit Complex Sphere8.3 Fourier Multipliers and Sobolev Spaces on Unit Complex Sphere; References; Bibliography; Index

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