Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Series Analysis and Schwartz Algebras of Spherical Convolutions on
  Semisimple Lie Groups   We give the exact contributions of Harish-Chandra transform,
$(\mathcal{H}f)(\lambda),$ of Schwartz functions $f$ to the harmonic analysis
of spherical convolutions and the corresponding $L^{p}-$ Schwartz algebras on a
connected semisimple Lie group $G$ (with finite center). One of our major
results gives the proof of how the Trombi-Varadarajan Theorem enters into the
spherical convolution transform of $L^{p}-$ Schwartz functions.

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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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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: mtrl-th
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio