Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On perturbed orthogonal polynomials on the real line and the unit circle
  via Szeg\H{o}'s transformation   By using the Szeg\H{o}'s transformation we deduce new relations between the
recurrence coefficients for orthogonal polynomials on the real line and the
Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover,
we study the relation between the corresponding $\mathcal{S}$-functions and
$\mathcal{C}$-functions

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio