Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A determinant characterization of moment sequences with finitely many
  mass-points   To a sequence (s_n)_{n\ge 0} of real numbers we associate the sequence of
Hankel matrices \mathcal H_n=(s_{i+j}),0\le i,j \le n. We prove that if the
corresponding sequence of Hankel determinants D_n=\det\mathcal H_n satisfy
D_n>0 for n<n_0 while D_n=0 for n\ge n_0, then all Hankel matrices are positive
semi-definite, and in particular (s_n) is the sequence of moments of a discrete
measure concentrated in n_0 points on the real line. We stress that the
conditions D_n\ge 0 for all n do not imply the positive semi-definiteness of
the Hankel matrices.

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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat