# Wermer type sets and extension of CR functions - Mathematics > Complex Variables

Abstract: For each $n\geq2$ we construct an unbounded closed pseudoconcave completepluripolar set $\mathcal E$ in $\mathbb C^n$ which contains no analytic varietyof positive dimension we call it a \textit{Wermer type set}. We alsoconstruct an unbounded strictly pseudoconvex domain $\Omega$ in $\mathbb C^n$and a smooth $CR$ function $f$ on $\partial\Omega$ which has a single-valuedholomorphic extension exactly to the set $\bar\Omega\setminus\mathcal E$.}

Author: Tobias Harz, Nikolay Shcherbina, Giuseppe Tomassini

Source: https://arxiv.org/