Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cuspidal integrals and subseries for $\mathrm{SL}(3)/K_{\epsilon}$   We show that for the symmetric spaces
$\mathrm{SL}(3,\mathbb{R})/\mathrm{SO}(1,2)_{e}$ and
$\mathrm{SL}(3,\mathbb{C})/\mathrm{SU}(1,2)$ the cuspidal integrals are
absolutely convergent. We further determine the behavior of the corresponding
Radon transforms and relate the kernels of the Radon transforms to the
different series of representations occurring in the Plancherel decomposition
of these spaces. Finally we show that for the symmetric space
$\mathrm{SL}(3,\mathbb{H})/\mathrm{Sp}(1,2)$ the cuspidal integrals are not
convergent for all Schwartz functions.

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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int