Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Paley-Wiener isomorphism over infinite-dimensional unitary groups   An analog of the Paley-Wiener isomorphism for the Hardy space with an
invariant measure over infinite-dimensional unitary groups is described. This
allows us to investigate on such space the shift and multiplicative groups, as
well as, their generators and intertwining operators. We show applications to
the Gauss-Weierstrass semigroups and to the Weyl-Schr\"odinger irreducible
representations of complexified infinite-dimensional Heisenberg groups.

24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol