Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the concept of inner function in Hardy and Bergman spaces in multiply
  connected domains   We discuss the notion of an inner function for spaces of analytic functions
in multiply connected domains in $\mathbb{C}$, giving a historical overview and
comparing several possible definitions. We explore connections between inner
functions, zero-divisors for Hardy spaces and Bergman spaces, and weighted
reproducing kernels. After recording some obstructions and negative results, we
suggest avenues for further research and point out several open problems.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg