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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.11565 |
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| _version_ | 1866917444314988544 |
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| author | Okamura, Kazuki |
| author_facet | Okamura, Kazuki |
| contents | We consider the conjugate equation driven by two families of finite maps on the unit interval satisfying a compatibility condition. This framework contains de Rham's functional equations. We give sufficient conditions for singularity of the solution with quantitative estimates in the case where the equation is driven by a family of non-affine maps and a family of linear fractional transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations Okamura, Kazuki Classical Analysis and ODEs 39B12, 26A30, 60G30 We consider the conjugate equation driven by two families of finite maps on the unit interval satisfying a compatibility condition. This framework contains de Rham's functional equations. We give sufficient conditions for singularity of the solution with quantitative estimates in the case where the equation is driven by a family of non-affine maps and a family of linear fractional transformations. |
| title | Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations |
| topic | Classical Analysis and ODEs 39B12, 26A30, 60G30 |
| url | https://arxiv.org/abs/2407.11565 |