Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-term Szeg\H{o} theorem for generalised anti-Wick operators   This article concerns the asymptotics of pseudodifferential operators whose
Weyl symbol is the convolution of a discontinuous function dilated by a large
scaling parameter with a smooth function of constant scale. These operators
include as a special case generalised anti-Wick operators, also known as
Gabor-Toeplitz operators, with smooth windows and dilated discontinuous symbol.
The main result is a two-term Szeg\H{o} theorem, that is, the asymptotics of
the trace of a function of the operator. A special case of this is the
asymptotic terms of the eigenvalue counting function. In both cases, previously
only the first term in the asymptotic expansion was known explicitly.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: q-fin