Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotone valuations on the space of convex functions   We consider the space of convex functions defined in the Euclidean
$n$-dimensional space, which are lower semi-continuous and tend to infinity at
infinity. We study real-valued valuations defined on this space of functions,
which are invariant under the composition with rigid motions, monotone and
verify a certain type of continuity. Among these valuations we prove integral
representation formulas for those which are, additionally, simple or
homogeneous.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat