Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wiener-Hopf operators in higher dimensions: the Widom conjecture for
  piece-wise smooth domains   We prove a two-term quasi-classical trace asymptotic formula for the
functions of multi-dimensional Wiener-Hopf operators with discontinuous
symbols. The discontinuities occur on the surfaces which are assumed to be
piece-wise smooth. Such a two-term formula was conjectured by H. Widom in 1982,
and proved by A. V Sobolev for smooth surfaces in 2009.

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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph