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- W1567392791 abstract "In this article we prove that if $Dsubset mathbb {C}^n$, $nge 2$, is a bounded pseudoconvex domain with real analytic boundary, then for each $g(z)in mathrm {Aut}(D)$, there exists a fixed open neighborhood $Omega _g$ of $overline {D}$ and an open neighborhood $V_g$ of $g(z)$ in $mathrm {Aut}(D)$ such that any $h(z)in V_g$ can be extended holomorphically to $Omega _g$, and that the action defined by begin{align*} pi :& V_gtimes Omega _gto mathbb {C}^n &(f,z)mapsto pi (f,z)=f(z) end{align*} is real analytic in joint variables. This extends H. Cartanâs theorem beyond the boundary. Some applications are also discussed here." @default.
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- W1567392791 date "1999-03-23" @default.
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- W1567392791 title "An extension of H. Cartan’s theorem" @default.
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- W1567392791 doi "https://doi.org/10.1090/s0002-9939-99-04953-9" @default.
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