Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse spectral problems for Sturm-Liouville operators with singular
  potentials, II. Reconstruction by two spectra   We solve the inverse spectral problem of recovering the singular potentials
$q\in W^{-1}_{2}(0,1)$ of Sturm-Liouville operators by two spectra. The
reconstruction algorithm is presented and necessary and sufficient conditions
on two sequences to be spectral data for Sturm-Liouville operators under
consideration are given.

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom