Blaschke Products Sharing a Welding Homeomorphism
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911729333567488 |
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| author | Lazebnik, Kirill |
| author_facet | Lazebnik, Kirill |
| contents | Given two Blaschke products $A$, $B$ of the same degree, a \emph{welding homeomorphism} of $A$, $B$ is a circle homeomorphism $k: \mathbb{T} \rightarrow \mathbb{T}$ satisfying $A\circ k=B$ on $\mathbb{T}$. We show that any two pairs of Blaschke products sharing a welding homeomorphism must factor through a common pair of Blaschke products, and we give a criterion for detecting whether two Blaschke products admit such a factorization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30445 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blaschke Products Sharing a Welding Homeomorphism Lazebnik, Kirill Complex Variables 30D05, 30D50 Given two Blaschke products $A$, $B$ of the same degree, a \emph{welding homeomorphism} of $A$, $B$ is a circle homeomorphism $k: \mathbb{T} \rightarrow \mathbb{T}$ satisfying $A\circ k=B$ on $\mathbb{T}$. We show that any two pairs of Blaschke products sharing a welding homeomorphism must factor through a common pair of Blaschke products, and we give a criterion for detecting whether two Blaschke products admit such a factorization. |
| title | Blaschke Products Sharing a Welding Homeomorphism |
| topic | Complex Variables 30D05, 30D50 |
| url | https://arxiv.org/abs/2605.30445 |