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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.07561 |
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| _version_ | 1866913575982858240 |
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| author | Tellez-Sanchez, Gamaliel Reyes, Juan Bory |
| author_facet | Tellez-Sanchez, Gamaliel Reyes, Juan Bory |
| contents | In this paper we provided a classification for partitions of intervals on the hyperbolic plane. Given a partition, to be named strong, we define a notion of a hyperbolic-valued functions of bounded variation and a kind of Riemann-Stieltjes integral. A condition relating to both concepts appears to be natural for the existence of the integral, as it occurs in real analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Notion of a Function of Bounded Variation and of Riemann-Stieltjes Integral with Strong Partitions on Hyperbolic Intervals Tellez-Sanchez, Gamaliel Reyes, Juan Bory Complex Variables In this paper we provided a classification for partitions of intervals on the hyperbolic plane. Given a partition, to be named strong, we define a notion of a hyperbolic-valued functions of bounded variation and a kind of Riemann-Stieltjes integral. A condition relating to both concepts appears to be natural for the existence of the integral, as it occurs in real analysis. |
| title | On the Notion of a Function of Bounded Variation and of Riemann-Stieltjes Integral with Strong Partitions on Hyperbolic Intervals |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2303.07561 |