Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of algebraic-exponential data from moments   Let $G$ be a bounded open subset of Euclidean space with real algebraic
boundary $\Gamma$. Under the assumption that the degree $d$ of $\Gamma$ is
given, and the power moments of the Lebesgue measure on $G$ are known up to
order $3d$, we describe an algorithmic procedure for obtaining a polynomial
vanishing on $\Gamma$. The particular case of semi-algebraic sets defined by a
single polynomial inequality raises an intriguing question related to the
finite determinateness of the full moment sequence. The more general case of a
measure with density equal to the exponential of a polynomial is treated in
parallel. Our approach relies on Stokes theorem and simple Hankel-type matrix
identities.

13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas