Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Nevai Condition   We study Nevai's condition that for orthogonal polynomials on the real line,
$K_n(x,x_0)^2 K_n(x_0,x_0)^{-1} d\rho (x)\to\delta_{x_0}$ where $K_n$ is the CD
kernel. We prove that it holds for the Nevai class of a finite gap set
uniformly on the spectrum and we provide an example of a regular measure on
$[-2,2]$ where it fails on an interval.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg