A note on a theorem of H. Cartan

Mathematics – Complex Variables

Scientific paper

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3 pages, AMS-TEX, to be published in Acta Math. Hungar

Scientific paper

We prove that if $D\subset C^n$ is a bounded domain with real analytic
boundary and D is pseudoconvex then the compact open topology in the group of
holomorphic automorphisms of D is the topology of uniform convergence on D.

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