A representation formula for members of SBV dual
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866910575888433152 |
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| author | Bouafia, Philippe De Pauw, Thierry |
| author_facet | Bouafia, Philippe De Pauw, Thierry |
| contents | 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 $x$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_04747 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A representation formula for members of SBV dual Bouafia, Philippe De Pauw, Thierry Classical Analysis and ODEs 46E30 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 $x$. |
| title | A representation formula for members of SBV dual |
| topic | Classical Analysis and ODEs 46E30 |
| url | https://arxiv.org/abs/2110.04747 |