  In this paper we present a linear method for the identification of both the
energy and flux relaxation kernels in the equation of thermodynamics with
memory proposed by M.E. Gurtin and A.G. Pipkin. The method reduces the
identification of the two kernels to the solution of two (linear) deconvolution
problems. The energy relaxation kernel is reconstructed by means of energy
measurements as the solution of a Volterra integral equation of the first kind
which does not depend on the still unknown flux relaxation kernel. Then, flux
measurements are used to identify the flux relaxation kernel.
