Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipliers on $\mathcal{S}_{\omega}(\mathbb{R}^N)$   The aim of this paper is to introduce and to study the space
$\mathcal{O}_{M,\omega}(\mathbb{R}^N)$ of the multipliers of the space
$\mathcal{S}_{\omega}(\mathbb{R}^N)$ of the $\omega$-ultradifferentiable
rapidly decreasing functions of Beurling type. We determine various properties
of the space $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$. Moreover, we define and
compare some lc-topologies of which $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$ can
be naturally endowed.

10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex