Similarity solutions are given for the energy spectrum and transfer function in the initial period of decay for a range of values of the Reynolds number using the transfer theory suggested by Kova´sznay. Because of the simple form of the theory, the solution can be obtained in closed form for all values of the Reynolds number, and this exact solution is useful for analytical purposes. To obtain detailed results, however, it is more convenient to employ numberical methods. It is found, for example, that the skewness factorSof −∂u1/∂x1varies only between 3.93KKforR&lgr;= 0 and 2.86KKforR&lgr;= ∞, whereKKis the arbitrary constant that occurs in the theory. A comparison between the present results and those obtained by using Heisenberg's transfer formula is also made. Some results for the transfer function in the final period of decay are also given.