Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Strict Positivstellensatz for the Weyl Algebra   Let $c$ be an element of the Weyl algebra $W(d)$ which is given by a strictly
positive operator in the Schr"odinger representation. It is shown that, under
some conditions, there exist elements $b_1,...,b_d$ in $W(d)$ such that $b_1 c
b_1^* + ... + b_d c b_d^*$ is a finite sum of squares.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs