Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Two-Parameter Free Unitary Segal-Bargmann Transform and its
  Biane-Gross-Malliavin Identification   Motivated by the two-parameter free unitary Segal-Bargmann transform in the
form of conditional expectation, we derive the integral transform
representation of the two-parameter free unitary Segal-Bargmann transform which
coincides to the large-$N$ limit of the two-parameter Segal-Bargmann transform
on the unitary group $\mathbb{U}(N)$ and explore its limiting behavior. We also
extend the notion of circular systems in order to define a two-parameter free
Segal-Bargmann transform and prove a version of Biane-Gross-Malliavin Theorem
of the two-parameter free unitary Segal-Bargmann transform.

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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph