Abstract

Singular Cauchy integral on a rectifiable Jordan curve. Sufficient conditions for the existence of singular Cauchy integral. The Zygmund estimate for the singular Cauchy integral. Cauchy type integral. Sokhotski–Plemelj formulas for limiting values of the Cauchy type integral. Riemann boundary value problem. The solution of a jump problem. The solution of a homogeneous problem. The solution of an inhomogeneous problem. Singular integral equations with the Cauchy kernel on a rectifiable Jordan curve.