Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and
  approximation of Weyl operators   We discuss an extension of Toeplitz quantization based on polyanalytic
functions. We derive isomorphism theorem for polyanalytic Toeplitz operators
between weighted Sobolev-Fock spaces of polyanalytic functions, which are
images of modulation spaces under polyanalytic Bargmann transforms. This
generalizes well-known results from the analytic setting. Finally, we derive an
asymptotic symbol calculus and present an asymptotic expansion of complex Weyl
operators in terms of polyanalytic Toeplitz operators.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg