Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-bounded unitary representations of infinite-dimensional Lie groups   In this note we introduce the concept of a semi-bounded unitary
representations of an infinite-dimensional Lie group $G$. Semi-boundedness is
defined in terms of the corresponding momentum set in the dual $\g'$ of the Lie
algebra $\g$ of $G$. After dealing with some functional analytic issues
concerning certain weak-$*$-locally compact subsets of dual spaces, called
semi-equicontinuous, we characterize unitary representations which are bounded
in the sense that their momentum set is equicontinuous, we characterize
semi-bounded representations of locally convex spaces in terms of spectral
measures, and we also describe a method to compute momentum sets of unitary
representations of reproducing kernel Hilbert spaces of holomorphic functions.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
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: supr-con
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
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The categories of this paper are: stat