Singular integrals of convolution type

This thesis consist of four chapters. In first chapter, we gave an introduction. The second chapter, we gave some basic information and theorems which we will use in third chapter.The third chapter is devoted to definition and basic properties of the Hilbert Transform, connections with analytic functions, L^p boundedness of Hilbert Transform and next the Riesz Transforms.Finally, in forth chapter we consider homogeneous singular, maximal singular integrals, L^p boundness of homogeneous singular integrals and the method of rotations.