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A Cantor set whose polynomial hull contains no analytic discs

Alexander J. Izzo Bowling Green State University Norman Levenberg Indiana University

Complex Variables and Complex Analysis mathscidoc:1912.43042

Arkiv for Matematik, 57, (2), 373-379, 2019
A generalization of a result of Wermer concerning the existence of polynomial hulls without analytic discs is presented. As a consequence it is shown that there exists a Cantor set X in C3 whose polynomial hull is strictly larger than X but contains no analytic discs.
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@inproceedings{alexander2019a,
  title={A Cantor set whose polynomial hull contains no analytic discs},
  author={Alexander J. Izzo, and Norman Levenberg},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204140658295411598},
  booktitle={Arkiv for Matematik},
  volume={57},
  number={2},
  pages={373-379},
  year={2019},
}
Alexander J. Izzo, and Norman Levenberg. A Cantor set whose polynomial hull contains no analytic discs. 2019. Vol. 57. In Arkiv for Matematik. pp.373-379. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204140658295411598.
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