Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The full moment problem on subsets of probabilities and point
  configurations   The aim of this paper is to study the full $K-$moment problem for measures
supported on some particular non-linear subsets $K$ of an infinite dimensional
vector space. We focus on the case of random measures, that is $K$ is a subset
of all non-negative Radon measures on $\mathbb{R}^d$. We consider as $K$ the
space of sub-probabilities, probabilities and point configurations on
$\mathbb{R}^d$. For each of these spaces we provide at least one representation
as a generalized basic closed semi-algebraic set to apply the main result in
[J. Funct. Anal., 267 (2014) no.5: 1382--1418]. We demonstrate that this main
result can be significantly improved by further considerations based on the
particular chosen representation of $K$. In the case when $K$ is a space of
point configurations, the correlation functions (also known as factorial moment
functions) are easier to handle than the ordinary moment functions. Hence, we
additionally express the main results in terms of correlation functions.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph