Abstract: | Let {E} be the spectral family of the operator corresponding to a self-adjoint second-adjoint second-order elliptic differential equation or to a first-order elliptic system inR
n
. The coefficients of the equations are assumed to be constant in a neighborhood of infinity and trapping rays are absent. We obtain the full asymptotic expansion as of the kernel e
1
(x, y) of the operator dE/d in terms of rays going from the point y into the point x.Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 12, pp. 75–87, 1987. |