Scattering theory for conformally compact metrics with variable curvature at infinity

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dc.creatorBorthwick, David
dc.date2000-10-27
dc.date.accessioned2026-07-07T04:38:18Z
dc.date.available2026-07-07T04:38:18Z
dc.descriptionWe develop the scattering theory of general conformally compact metrics. For low frequencies, the domain of the scattering matrix is shown to be frequency dependent. In particular, generalized eigenfunctions exhibit L^2 decay in directions where the asymptotic curvature is sufficiently negative. The scattering matrix is shown to be a pseudodifferential operator. For generic frequency in this part of the continuous spectrum, we give an explicit construction of the resolvent kernel.
dc.descriptionAMS-LaTeX, 43 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0010273
dc.identifierhttp://arxiv.org/abs/math/0010273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60224
dc.subjectSpectral Theory
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.titleScattering theory for conformally compact metrics with variable curvature at infinity
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