Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic Jacobi operator with finitely supported perturbations: the
  inverse resonance problem   We consider a periodic Jacobi operator $H$ with finitely supported
perturbations on ${\Bbb Z}.$ We solve the inverse resonance problem: we prove
that the mapping from finitely supported perturbations to the scattering data:
the inverse of the transmission coefficient and the Jost function on the right
half-axis, is one-to-one and onto. We consider the problem of reconstruction of
the scattering data from all eigenvalues, resonances and the set of zeros of
$R_-(\lambda)+1,$ where $R_-$ is the reflection coefficient.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con