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Biholomorphisms in Dimension 2

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In this paper we consider a classical regularity problem for biholomorphisms between two bounded real-analytic domains. It is proved that such biholomorphisms can be holomorphically extended through the boundaries of the domains in a space of complex dimension 2.

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Communicated by Steven Krantz

This article was written while the first author was visiting the Department of Mathematics of the University of Michigan. He would like to thank this institution and Mrs. I. Cesari for the support given to him.

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Diederich, K., Fornæss, J.E. & Ye, Z. Biholomorphisms in Dimension 2. J Geom Anal 4, 539–552 (1994). https://doi.org/10.1007/BF02922142

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