Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic
  Manifolds   We construct a semi-classical parametrix for the Laplacian on non-trapping
asymptotically hyperbolic manifolds, which generalizes the construction of
Melrose, Sa Barreto and Vasy. As applications, we obtain high energy resolvent
estimates and resonance free strips. Also, we prove that the Friedlander
radiation field decays exponentially for initial data in proper spaces.

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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg