Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tomas-Stein restriction estimates on convex cocompact hyperbolic
  manifolds. I   In this paper, we investigate the Tomas-Stein restriction estimates on convex
cocompact hyperbolic manifolds $\Gamma\backslash\mathbb{H}^{n+1}$. Via the
spectral measure of the Laplacian, we prove that the Tomas-Stein restriction
estimate holds when the limit set has Hausdorff dimension $\delta_\Gamma<n/2$.
This provides an example for which restriction estimate holds in the presence
of hyperbolic geodesic trapping.

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The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas