Bounded Connected Components of Polynomial Lemniscates
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866929522934284288 |
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| author | Kraus, Adam Simanek, Brian |
| author_facet | Kraus, Adam Simanek, Brian |
| contents | We consider families of polynomial lemniscates in the complex plane and determine if they bound a Jordan domain. This allows us to find examples of regions for which we can calculate the projection of $\bar{z}$ to the Bergman space of the bounded region. Such knowledge has applications to the calculation of torsional rigidity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12603 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bounded Connected Components of Polynomial Lemniscates Kraus, Adam Simanek, Brian Complex Variables Classical Analysis and ODEs We consider families of polynomial lemniscates in the complex plane and determine if they bound a Jordan domain. This allows us to find examples of regions for which we can calculate the projection of $\bar{z}$ to the Bergman space of the bounded region. Such knowledge has applications to the calculation of torsional rigidity. |
| title | Bounded Connected Components of Polynomial Lemniscates |
| topic | Complex Variables Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2312.12603 |