Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral stability of Schroedinger operators with subordinated complex
  potentials   We prove that the spectrum of Schroedinger operators in three dimensions is
purely continuous and coincides with the non-negative semiaxis for all
potentials satisfying a form-subordinate smallness condition. By developing the
method of multipliers, we also establish the absence of point spectrum for
Schroedinger operators in all dimensions under various alternative hypotheses,
still allowing complex-valued potentials with critical singularities.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin