Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse problem for Hankel operators and turbulent solutions of the
  cubic Szeg\H{o} equation on the line   We construct inverse spectral theory for finite rank Hankel operators acting
on the Hardy space of the upper half-plane. A particular feature of our theory
is that we completely characterise the set of spectral data. As an application
of this theory, we prove the genericity of turbulent solutions of the cubic
Szeg\H{o} equation on the real line.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom