Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of moment sequences by extensions   The fibre theorem \cite{schm2003} for the moment problem on closed
semi-algebraic subsets of $\R^d$ is generalized to finitely generated real
unital algebras. A charaterization of moment functionals on the polynomial
algebra $\R[x_1,\dots,x_d]$ in terms of extensions is given. These results are
applied to reprove basic results on the complex moment problem due to Stochel
and Szafraniec \cite{stochelsz} and Bisgaard \cite{bisgaard}.

12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th