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We show that the ``radiation field'' introduced by F.G. Friedlander, mapping Cauchy data
for the wave equation to the rescaled asymptotic behavior of the wave, is a Fourier
integral operator on any non-trapping asymptotically hyperbolic or asymptotically conic
manifold. The underlying canonical relation is associated to a ``sojourn time'' or
``Busemann function'' for geodesics. As a consequence we obtain some information about
the high frequency behavior of the scattering...
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