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arXiv · 2405.18013

On analytic characterization of convex sets in $\mathbb{R}^m$ (a survey)

Nikolay Kuznetsov
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Abstract

In the first part of this note, we review results concerning analytic characterization of convexity for planar sets. The second part is devoted to results valid for arbitrary $m \ge 2$.

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Nikolay Kuznetsov. 2024-05-28. On analytic characterization of convex sets in $\mathbb{R}^m$ (a survey). https://arxiv.org/abs/2405.18013

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