On Hilbert lemniscate theorem for a system of continua

2018/05/28 by Andrievskii, Vladimir
#30A10 #30C10 #30C62 #30E10 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.10932

Abstract

Let K be a compact set in the complex plane consisting of a finite number of continua. We study the rate of approximation of K from the outside by lemniscates in terms of level lines of the Green function for the complement of K.

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