Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An application of hypergeometric shift operators to the chi-spherical
  Fourier transform   We study the action of hypergeometric shift operators on the Heckman-Opdam
hypergeometric functions associated with the $BC_n$ type root system and some
negative multiplicities. Those hypergeometric functions are connected to the
$\chi$-spherical functions on Hermitian symmetric spaces $U/K$ where $\chi$ is
a nontrivial character of $K$. We apply shift operators to the hypergeometric
functions to move negative multiplicities to positive ones. This allows us to
use many well-known results of the hypergeometric functions associated with
positive multiplicities. In particular, we use this technique to achieve
exponential estimates for the $\chi$-spherical functions. The motive comes from
the Paley-Wiener type theorem on line bundles over Hermitian symmetric spaces.

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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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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: q-bio
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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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: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th