IUMJ

Title: Semi-Valuations on $BV(\\mathbb R^n)$

Authors: Tuo Wang

Issue: Volume 63 (2014), Issue 5, 1447-1465

Abstract:

All affinely covariant convex-body-valued semi-valuations on functions of bounded variation on $\mathbb{R}^n$ are completely classified. It is shown that there is a unique such semi-valuation for Blaschke addition. This semi-valuation turns out to be the operator which associates with each function its extended LYZ body.