# Valuations on Convex Functions

## TL;DR

This paper classifies all continuous, SL(n), and translation invariant valuations on convex functions in b^n, providing a complete understanding of their structure and properties.

## Contribution

It offers a complete classification of valuations on convex functions that are continuous, SL(n) invariant, and translation invariant, filling a gap in valuation theory.

## Key findings

- Complete classification of valuations on convex functions.
- Characterization of valuations invariant under SL(n) and translations.
- Framework for understanding valuations in convex analysis.

## Abstract

All continuous, SL$(n)$ and translation invariant valuations on the space of convex functions on ${\mathbb R}^n$ are completely classified.