Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analytic characterization of the symmetric extension of a
  Herglotz-Nevanlinna function in several variables   In this paper, we derive an analytic characterization of the symmetric
extension of a Herglotz-Nevanlinna function in several variables. Here, the
main tools used are the so-called variable non-dependence property and the
symmetry formula satisfied by Herglotz-Nevanlinna function and Cauchy-type
functions. We also provide an extension of the Stieltjes inversion formula for
Cauchy-type functions.

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The categories of this paper are: hep-th
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: cs