Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The pseudo-differential calculus in a Bargmann setting   We give a fundament for Berezin's analytic $\Psi$do considered in
\cite{Berezin71} in terms of Bargmann images of Pilipovi{\'c} spaces. We deduce
basic continuity results for such $\Psi$do, especially when the operator
kernels are in suitable mixed weighted Lebesgue spaces and act on certain
weighted Lebesgue spaces of entire functions. In particular, we show how these
results imply well-known continuity results for real $\Psi$do with symbols in
modulation spaces, when acting on other modulation spaces.

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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: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex