Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conservative curved systems and free functional model   We introduce conservative curved systems over multiply connected domains and
study relationships of such systems with related notions of functional model,
characteristic function, and transfer function. In contrast to standard theory
for the unit disk, characteristic functions and transfer functions are
essentially different objects. We study possibility to recover the
characteristic function for a given transfer function. As the result we obtain
the procedure to construct the functional model for a given conservative curved
system. We employ the functional model to solve some problems in perturbation
theory.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org