The radiation field is a fourier integral operator

Antônio Sá. Barreto*, Jared Wunsch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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 Poisson operator in these geometric settings.

Original languageEnglish (US)
Pages (from-to)213-227+VII+XI
JournalAnnales de l'Institut Fourier
Issue number1
StatePublished - 2005


  • Busemann function
  • Eisenstein function
  • High frequency
  • Radiation field
  • Sojourn time

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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