Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simultaneous unitary equivalence to Carleman operators with arbitrarily
  smooth kernels   In this paper, we describe families of those bounded linear operators on a
separable Hilbert space that are simultaneously unitarily equivalent to
integral operators on $L_2(R)$ with bounded and arbitrarily smooth Carleman
kernels. The main result is a qualitative sharpening of an earlier result of
[7].

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph