Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Riemann--Lebesgue lemma for Jacobi expansions   A Lemma of Riemann--Lebesgue type for Fourier--Jacobi coefficients is
derived. Via integral representations of Dirichlet--Mehler type for Jacobi
polynomials its proof directly reduces to the classical Riemann--Lebesgue Lemma
for Fourier coefficients. Other proofs are sketched. Analogous results are also
derived for Laguerre expansions and for Jacobi transforms.

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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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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: hep-ph
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The categories of this paper are: cs
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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: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: astro-ph