Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noetherian solvability of an operator singular integral equation with a
  Carleman shift in fractional spaces   In this paper, we obtain conditions of Noetherian solvability and the Index
formula for a singular integral equation with a Cauchy kernel and a Carleman
shift in Besov space, which is embedded into the space of continuous functions
on a closed Lyapunov contour, but not into the class of functions satisfying
H\"{o}lder condition.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th