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, IV. Potentials in the Sobolev space scale   We solve the inverse spectral problems for the class of Sturm--Liouville
operators with singular real-valued potentials from the Sobolev space
W^{s-1}_2(0,1), s\in[0,1]. The potential is recovered from two spectra or from
the spectrum and norming constants. Necessary and sufficient conditions on the
spectral data to correspond to the potential in W^{s-1}_2(0,1) are established.

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The categories of this paper are: q-fin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th