Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On functions of bounded variation on convex domains in Hilbert spaces   We study functions of bounded variation (and sets of finite perimeter) on a
convex open set $\Omega\subseteq X$, $X$ being an infinite dimensional real
Hilbert space. We relate the total variation of such functions, defined through
an integration by parts formula, to the short-time behaviour of the semigroup
associated with a perturbation of the Ornstein--Uhlenbeck operator.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph