Singular Integrals and Fourier Theory on Lipschitz Boundaries

“The main audience for this book would be those interested in the importance of Fourier multipliers in Harmonic Analysis. … this book would serve as a nice reference on recent developments on singular integrals and Fourier multipliers on various Lipschitz surfaces.” (Eric Stachura, MAA Reviews, December 22, 2019)

• 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