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The transmission problem for the reduced Navier equation of classical elasticity, for an infinitely stratified scatterer, is studied. The existence and uniqueness of solutions is proved. Moreover, an integral representation of the solution is constructed, for both the near and the far field. 1991 Mathematics Subject Classification: 73C02, 73C15, 35Q72, 35R05.doi:10.4064/ap-68-3-281-300 fatcat:xbmkotplu5dbxa3gkw334d6su4