Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A problem on completeness of exponentials   Let $\mu$ be a finite positive measure on the real line. For $a>0$ denote by
$\EE_a$ the family of exponential functions $$\EE_a=\{e^{ist}| \ s\in[0,a]\}.$$
The exponential type of $\mu$ is the infimum of all numbers $a$ such that the
finite linear combinations of the exponentials from $\EE_a$ are dense in
$L^2(\mu)$. If the set of such $a$ is empty, the exponential type of $\mu$ is
defined as infinity. The well-known type problem asks to find the exponential
type of $\mu$ in terms of $\mu$.
  \ms\no In this note we present a solution to the type problem and discuss its
relations with known results.

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The categories of this paper are: nlin
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: econ