Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The moment problem on curves with bumps   The power moments of a positive measure on the real line or the circle are
characterized by the non-negativity of an infinite matrix, Hankel, respectively
Toeplitz, attached to the data. Except some fortunate configurations, in higher
dimensions there are no non-negativity criteria for the power moments of a
measure to be supported by a prescribed closed set. We combine two well studied
fortunate situations, specifically a class of curves in two dimensions
classified by Scheiderer and Plaumann, and compact, basic semi-algebraic sets,
with the aim at enlarging the realm of geometric shapes on which the power
moment problem is accessible and solvable by non-negativity certificates.

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The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys