Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A L\'evy-Khinchin Formula for the Space of Infinite Dimensional Square
  Complex Matrices   Using a generalised Bochner type representation for Olshanski spherical
pairs, we establish a L\'evy-Khinchin formula for the continuous functions of
negative type on the space $V_\infty= M(\infty, \mathbb C)$ of infinite
dimensional square complex matrices relatively to the action of the product
group $K_\infty=U(\infty)\times U(\infty)$. The space $V_\infty$ is the
inductive limit of the spaces $V_n=M(n, \mathbb C)$, and the group $K_\infty$
is the inductive limit of the product groups $K_n=U(n)\times U(n)$, where
$U(n)$ is the unitary group.

34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an