Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse problem for weighted Paley-Wiener spaces   Let $\mu$ be a measure on the real line $\mathbb{R}$ such that
$\int_{\mathbb{R}}\frac{d\mu(t)}{1+t^2} < \infty$ and let $a>0$. Assume that
the norms $\|f\|_{L^2(\mathbb{R})}$ and $\|f\|_{L^2(\mu)}$ are comparable for
functions $f$ in the Paley-Wiener space $PW_{a}$ and that $PW_a$ is dense in
$L^2(\mu)$. We reconstruct the canonical Hamiltonian system $JX' = zHX$ such
that $\mu$ is the spectral measure for this system.

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The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn