Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of Eigenvalues of Non-self-adjoint Schr\"{o}dinger Operators with
  Dilation Analytic Complex Potentials   In this paper, we give Lieb-Thirring type inequalities for isolated
eigenvalues of $d$-dimensional non-selfadjoint Schr\"{o}dinger operators with
complex-valued and dilation analytic potentials. In order to derive them, we
prove that isolated eigenvalues and their multiplicities are invariant under
complex dilation.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an