Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operateur de Schrodinger avec potentiel singulier multi-polaire
  (Schrodinger operator with a potential including several inverse-square
  singularities)   Let P be the operator $-\Delta+V$ on R^d, where $V$ is a real potential with
several inverse square singularities. The usual non-trapping type
high-frequency inequality on the truncated resolvent of $P$ is shown, using
semi-classical measures. This inequality implies local smoothing effect on the
corresponding Schrodinger equation.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph