Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on certain convolution operators   In this note we consider a certain class of convolution operators acting on
the L_p spaces of the one dimensional torus. We prove that the identity minus
such an operator is nicely invertible on the subspace of functions with mean
zero.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
18
The categories of this paper are: econ