Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On weighted polynomial approximation   Let $\varPhi:{\mathbb R}^n \to [1, \infty)$ be a semi-continuous from below
function such that $\lim \limits_{x \to \infty} \displaystyle \frac {\ln
\varPhi(x)} {\Vert x \Vert} = +\infty$. It is shown that polynomials are dense
in $C_{\varPhi}({\mathbb R}^n)$.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci