Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirichlet polynomials and a moment problem   Consider a linear functional $L$ defined on the space $\mathcal D[s]$ of
Dirichlet polynomials with real coefficients and the set $\mathcal D_+[s]$ of
non-negative elements in $\mathcal D[s].$ An analogue of the Riesz-Haviland
theorem in this context asks: What are all $\mathcal D_+[s]$-positive linear
functionals $L,$ which are moment functionals? Since the space $\mathcal D[s],$
when considered as a subspace of $C([0, \infty), \mathbb R),$ fails to be an
adapted space in the sense of Choquet, the general form of Riesz-Haviland
theorem is not applicable in this situation. In an attempt to answer the
forgoing question, we arrive at the notion of a moment sequence, which we call
the Hausdorff log-moment sequence. Apart from an analogue of the Riesz-Haviland
theorem, we show that any Hausdorff log-moment sequence is a linear combination
of $\{1, 0, \ldots, \}$ and $\{f(\log(n)\}_{n \geqslant 1}$ for a completely
monotone function $f : [0, \infty) \rightarrow [0, \infty).$ Moreover, such an
$f$ is uniquely determined by the sequence in question.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio