Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Paley-Wiener-Gelfand tauberian theorem for semigroups with invariant
  measure   The theorem is proved that generalizes the Gelfand generalization of the
Paley-Wiener tauberian theorem to general abelian topological semigroups with
invariant measure. Several corollaries of this theorem are given.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys