Some properties of the Clifford Cauchy type integrals associated to Helmholtz equation on a piecewise Lyapunov surfaces in Rm

摘要

Our main interest is an analog of a Cauchy type integral associated to Helmholtz equation in the case of a piecewise Lyapunov surfaces in higher dimensions. Here we study some basic properties of this integral. In realizing this study we follow the approach presented in [19], [20], [21] within the quaternionic Cauchy integrals theory.