*Published Paper*

**Inserted:** 29 oct 2024

**Journal:** Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)

**Volume:** 25

**Number:** 1

**Pages:** 483-493

**Year:** 2024

**Abstract:**

We give an integral representation formula for members of the dual of $SBV(\mathbb{R}^n)$ in terms of functions that are defined on $\widehat{\mathbb{R}^n}$, an appropriate fiber space that we introduce, consisting of pairs $(x,[E]_x)$ where $[E]_x$ is an approximate germ of an $(n-1)$-rectifiable set $E$ at $x$.