2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62102We consider an inverse problem for the double layer potential which can be formulated, somewhat loosely, as follows. For which smoothly bounded domains D in Euclidian space does the operator J, which maps a function on the boundary to the boundary values of its double layer potential, admit the eigenvalue 1/2. The question is motivated by Fredholm's solution to the Dirichlet problem by means of the double layer potential.Classical Analysis and ODEsComplex Variables31A25, 31B20text