Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the multilinear Hausdorff problem of moments   Given a multi-index sequence $\mu_{\mathbf{k}}$, $\mathbf{k} = (k_1,..., k_n)
\in \mathbb{N}_0^n$, necessary and sufficient conditions are given for the
existence of a regular Borel polymeasure $\gamma$ on the unit interval $I=
[0,1]$ such that $\mu_{\mathbf{k}} = \int_{I^n} t_1^{k_1}\otimes ... \otimes
t_n^{k_n} \gamma$. This problem will be called the weak multilinear Hausdorff
problem of moments for $\mu_{\mathbf{k}}$. Comparison with classical results
will allow us to relate the weak multilinear Hausdorff problem with the
multivariate Hausdorff problem. A solution to the strong multilinear Hausdorff
problem of moments will be provided by exhibiting necessary and sufficient
conditions for the existence of a Radon measure $\mu$ on $[0,1]$ such that
$L_\mu(f_1,..., f_n) = \int_{I} f_1(t) ... f_n(t) \mu (dt)$ where $L_\mu$ is
the $n$-linear moment functional on the space of continuous functions on the
unit interval defined by the sequence $\mu_{\mathbf{k}}$. Finally the previous
results will be used to provide a characterization of a class of weakly
harmonizable stochastic processes with bimeasures supported on compact sets.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat