Boundary-value problems with a triple periodic solution for the Laplace equation in R3

Starting from the triple periodic analogues of simple and double layer potentials, existence and uniqueness theorems for the triple periodic solutions of the fundamental boundary-value problems for the Laplace equation are proved.Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 45, pp. 132–139, 1986.