Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Does every contractive analytic function in a polydisk have a
  dissipative n-dimensional scattering realization?   No. The title question was posed by D. Kalyuzhnyi-Verbovetskyi [1, Problem
1.3]. Let \mathcal{L(H,K)} denote the set of all bounded linear operators
between a pair of Hilbert spaces \mathcal{H,K}, and let \mathbb{D}^{n} and
\mathbb{T}^{n} denote the open unit polydisk, and the unit n-torus,
respectively.

24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th