Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-differential operators with isotropic symbols, Wick and anti-Wick
  operators, and hypoellipticity   We study the link between pseudo-differential operators and Wick operators
via the Bargmann transform. We deduce a formula for the symbol of the Wick
operator in terms of the short-time Fourier transform of the Weyl symbol. This
gives characterizations of Wick symbols of pseudo-differential operators of
Shubin type and of infinite order, and results on composition. We prove a
series expansion of Wick operators in anti-Wick operators which leads to a
sharp G{\aa}rding inequality and transition of hypoellipticity between Wick and
and Shubin symbols. Finally we show continuity results for anti-Wick operators,
and estimates for the Wick symbols of anti-Wick operators.

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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas