Asymptotic formulas for the resonance eigenvalues of the Schrödinger operator

In this paper, we consider the Schrodinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators