Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Striktpositivstellensatz for measurable functions (corrected version)   A weighted sums of squares decomposition of positive Borel measurable
functions on a bounded Borel subset of the Euclidean space is obtained via
duality from the spectral theorem for tuples of commuting self-adjoint
operators. The analogous result for polynomials or certain rational functions
was amply exploited during the last decade in a variety of applications.

33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th