Propagation of CR extendibility at the vertex of a complex sector

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We study propagation of CR extendibility at the vertex $p$ of an analytic
sector $A$ contained in a CR manifold $M$. Let $k$ be the weighted vanishing
order of $M$ and $\alpha $ the complex angle of $A$ at $p$. Propagation takes
place if and only if $\alpha>\frac1k$.

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