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Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

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 نشر من قبل Andras Vasy
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف Andras Vasy




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We use a Lagrangian perspective to show the limiting absorption principle on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations. More precisely we show that, for non-zero spectral parameter, the `on spectrum, as well as the `off-spectrum, spectral family is Fredholm in function spaces which encode the Lagrangian regularity of generalizations of `outgoing spherical waves of scattering theory, and indeed this persists in the `physical half plane.



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