Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomially Interpolated Legendre Multiplier Sequences   We prove that every multiplier sequence for the Legendre basis which can be
interpolated by a polynomial has the form $\{h(k^2+k)\}_{k=0}^{\infty}$, where
$h\in\mathbb{R}[x]$. We also prove that a non-trivial collection of polynomials
of a certain form interpolate multiplier sequences for the Legendre basis, and
we state conjectures on how to extend these results.

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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc