Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realization of functions on the symmetrized bidisc   We prove a realization formula and a model formula for analytic functions
with modulus bounded by $1$ on the symmetrized bidisc \[ G\stackrel{\rm def}{=}
\{(z+w,zw): |z|<1, \, |w| < 1\}. \] As an application we prove a Pick-type
theorem giving a criterion for the existence of such a function satisfying a
finite set of interpolation conditions.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph