Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Hermite functions as Fourier-Wigner transform   We prove that the complex Hermite polynomials H_{m,n} on the complex plane
$\mathbb{C}$ can be realized as the Fourier-Wigner transform $\mathcal{V}$ of
the well-known real Hermite functions $h_n$ on real line $\mathbb{R}$. This
reduces considerably the Wong's proof giving the explicit expression of
$\mathcal{V}(h_m,h_n)$ in terms of the Laguerre polynomials. Moreover, we
derive a new generating function for the H_{m,n} as well as some new integral
identities.

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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat