Non-absolute integration and application to Young geometric integration
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917304881643520 |
|---|---|
| author | Bouafia, Philippe |
| author_facet | Bouafia, Philippe |
| contents | We survey several non-absolutely convergent integrals, including the Henstock-Kurzweil and Pfeffer integrals, and use ideas from these theories to investigate the problem of multidimensional Young integration. We further present results on Young geometric integration, namely the integration of certain generalized differential forms over $m$-dimensional subsets of $\mathbb{R}^d$. This is achieved by introducing appropriate notions of chains and cochains, in the spirit of Whitney's geometric integration theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-absolute integration and application to Young geometric integration Bouafia, Philippe Functional Analysis 49Q15, 60L99, 28A75, 26A39 We survey several non-absolutely convergent integrals, including the Henstock-Kurzweil and Pfeffer integrals, and use ideas from these theories to investigate the problem of multidimensional Young integration. We further present results on Young geometric integration, namely the integration of certain generalized differential forms over $m$-dimensional subsets of $\mathbb{R}^d$. This is achieved by introducing appropriate notions of chains and cochains, in the spirit of Whitney's geometric integration theory. |
| title | Non-absolute integration and application to Young geometric integration |
| topic | Functional Analysis 49Q15, 60L99, 28A75, 26A39 |
| url | https://arxiv.org/abs/2602.09151 |