Coordinare asymptotic behavior of Green's function of the scattering problem for the Helmholtz equation

A construction is described for the asymptotic behavior of Green's function G(x, x', ) of the scattering problem for the Schrödinger equation as x, which is uniform with respect to x'.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 42, pp. 236–238, 1974.The author is grateful to V. S. Buslaev for valuable discussions during the course of the work.