Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering theory for conformally compact metrics with variable
  curvature at infinity   We 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.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org