Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting the Christ-Kiselev's multi-linear operator technique and its
  applications to Schr\"odinger operators   We established a generalized version of the Christ-Kiselev's multi-linear
operator technique to deal with the spectral theory of Schr\"odinger operators.
As applications, several spectral results of perturbed periodic Schr\"odinger
operators are obtained, including WKB solutions, sharp transitions of
preservation of absolutely continuous spectra, criteria of absence of singular
spectra and sharp bounds of the Hausdorff dimension of singular spectra.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas