Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Segal-Bargmann transform for noncompact symmetric spaces of the
  complex type   We consider the generalized Segal-Bargmann transform, defined in terms of the
heat operator, for a noncompact symmetric space of the complex type. For radial
functions, we show that the Segal-Bargmann transform is a unitary map onto a
certain L^2 space of meromorphic functions. For general functions, we give an
inversion formula for the Segal-Bargmann transform, involving integration
against an "unwrapped" version of the heat kernel for the dual compact
symmetric space. Both results involve delicate cancellations of singularities.

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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nlin