This paper provides eigenfunction expansions associated with the stationary problems for elasticwave propagation in stratifiedmedia Rs. The eigenfunction expansion is given in terms of a family of generalized eigenfunctions corresponding to incident, reflected, refracted and Stoneley waves. The eigenfunction expansion theory for wave propagation problems has been studied by several authors (for example, K. Mochizuki [8], J.R. Schulenberger and C. H. Wilcox [11], C. H. Wilcox [18]). S. Wakabayashi [16] provided
