Polynomial convexity with degree bounds

Slapar, Marko (author)

We introduce different notions of polynomial convexity with bounds on degrees of polynomials in ${\mathbb C}^n$. We provide some examples in higher dimensions and show necessary and sufficient conditions for polynomial convexity with degree bounds for certain sets of points in ${\mathbb C}$ and for certain arcs in the unit circle.

• Language: English
• Keywords: polynomial convexity, lemniscate, configurations of points
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics; PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: Str. 1438-1450
• Numbering: Vol. 70, no. 8
• PID: 20.500.12556/RUL-176010
• UDC: 517.5
• ISSN on article: 1747-6933
• DOI: 10.1080/17476933.2024.2406011
• COBISS.SI-ID: 218005251
• Publication date in RUL: 18.11.2025

Record is a part of a journal

• Title: Complex variables and elliptic equations
• Publisher: Taylor & Francis
• ISSN: 1747-6933
• COBISS.SI-ID: 513019929

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• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.