Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the singular factor of a linear combination of holomorphic functions   We prove that the linear combinations of functions $f_0,...,f_n$ in
$H^\infty$ have "few" singular inner factors, provided that the $f_j$'s are
suitably smooth up to the boundary, while in general this is no longer true.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat