Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral representation of some weighted Hankel matrices and orthogonal
  polynomials from the Askey scheme   We provide an explicit spectral representation for several weighted Hankel
matrices by means of the so called commutator method. These weighted Hankel
matrices are found in the commutant of Jacobi matrices associated with
orthogonal polynomials from the Askey scheme whose Jacobi parameters are
polynomial functions of the index. We also present two more results of general
interest. First, we give a complete description of the commutant of a Jacobi
matrix. Second, we deduce a necessary and sufficient condition for a weighted
Hankel matrix commuting with a Jacobi matrix to determine a unique self-adjoint
operator on $\ell^{2}(\mathbb{N}_{0})$.

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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas