Polynomial convexity with degree bounds

2024/03/21 by Slapar, Marko
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.14529

Abstract

We introduce different notions of polynomial convexity with bounds on degrees of polynomials in \mathbb Cⁿ. 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.

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