Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The moment problem on the Wiener space   Consider an $L^1$-continuous functional $\ell$ on the vector space of
polynomials of Brownian motion at given times, suppose $\ell $ commutes with
the quadratic variation in a natural sense, and consider a finite set of
polynomials of Brownian motion at rational times, $f_1(\vec b),...,f_m(\vec
b)$, mapping the Wiener space to $\mathbb{R}$.
  In the spirit of Schm\"udgen's solution to the finite-dimensional moment
problem, we give sufficient conditions under which $\ell$ can be written in the
form $\int \cdot d\mu$ for some finite measure $\mu$ on the Wiener space such
that $\mu$-almost surely, all the random variables $f_1(\vec b),...,f_m(\vec
b)$ are nonnegative.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys