Cauchy transform and rectifiability in Clifford analysis (Q558475)

The paper deals with the existence of limit values of generalized Cauchy transforms in \(\mathbb{R}^n.\) The Cauchy transforms are defined in terms of a Cauchy integral in Clifford analysis. The main result obtained is that under certain regularity conditions of an \(n\)-dimensional surface in \(\mathbb{R}^{n+1}\) the associated generalized Cauchy transformation has continuous limit values on that surface if and only if a particular integral condition is fulfilled.