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arXiv · 2110.04747

A representation formula for members of SBV dual

Philippe Bouafia·Thierry De Pauw
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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 $\hat{\mathbb{R}}^n$, 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 $x$.

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Philippe Bouafia, Thierry De Pauw. 2021-10-10. A representation formula for members of SBV dual. https://doi.org/10.2422/2036-2145.202110_011

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