Schneider, Baruch2023-06-162023-06-1620110096-3003https://doi.org/10.1016/j.amc.2011.09.057https://hdl.handle.net/20.500.14365/1051Our 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 [19-21] within the quaternionic Cauchy integrals theory. (C) 2011 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessClifford analysisCauchy type integralsPoincare-Bertrand FormulaLipschitz-DomainsArticle10.1016/j.amc.2011.09.0572-s2.0-81855166894