Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiseparable integral operators and explicit solution of an inverse
  problem for the skew-self-adjoint Dirac-type system   Inverse problem to recover the skew-self-adjoint Dirac-type system from the
generalized Weyl matrix function is treated in the paper. Sufficient conditions
under which the unique solution of the inverse problem exists, are formulated
in terms of the Weyl function and a procedure to solve the inverse problem is
given. The case of the generalized Weyl functions of the form
$\phi(\lambda)\exp\{-2i\lambda D\}$, where $\phi$ is a strictly proper rational
matrix function and $D=D^* \geq 0$ is a diagonal matrix, is treated in greater
detail. Explicit formulas for the inversion of the corresponding semiseparable
integral operators and recovery of the Dirac-type system are obtained for this
case.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin