Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability under integration of sums of products of real globally
  subanalytic functions and their logarithms   We study Lebesgue integration of sums of products of globally subanalytic
functions and their logarithms, called constructible functions. Our first
theorem states that the class of constructible functions is stable under
integration. The second theorem treats integrability conditions in Fubini-type
settings, and the third result gives decay rates at infinity for constructible
functions. Further, we give preparation results for constructible functions
related to integrability conditions.

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The categories of this paper are: cs
12
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: nucl-ex
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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph