Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The characterization problem for one class of second order operator
  pencil with complex periodic coefficients   The purpose of the present work is solving the characterization problem for
one class of second order operator pencil with complex periodic coefficients,
which consists of identification of necessary and sufficient conditions on the
scattering data ensuring that the reconstructed potential belongs to a
particular class.

4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int