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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2021

A representation formula for members of SBV dual

Résumé

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 $x$.

Dates et versions

hal-04001358 , version 1 (22-02-2023)

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Philippe Bouafia, Thierry de Pauw. A representation formula for members of SBV dual. 2023. ⟨hal-04001358⟩
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