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Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. II. Applications to scattering theory
Januaryfor the solutions p°(x, t) of the wave equation in S with finite energy, which vanish on S. It is shown that f [\Vp°(x, t)\2+\p?(x,t)\2]dx-+0 asi-^±oo for each bounded subset B of S. No information is given, however, concerning the rate of decay.Finally, in §6 we extend the arguments of …