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Polynomial convexity with degree bounds
Published 21 Mar 2024 in math.CV | (2403.14529v1)
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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