Faculté des sciences

A regularity result for CR mappings between infinite type hypersurfaces

Meylan, Francine

In: Communications in Partial Differential Equations, 2008, vol. 33, no. 9, p. 1638 - 1653

The Schwarz reflection principle in one complex variable can be stated as follows. Let M and M' be two real analytic curves in ℂ and f a holomorphic function defined on one side of M, extending continuously through M, and mapping M into M'. Then f has a holomorphic extension across M. In this paper, we extend this classical theorem... Plus

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    Summary
    The Schwarz reflection principle in one complex variable can be stated as follows. Let M and M' be two real analytic curves in ℂ and f a holomorphic function defined on one side of M, extending continuously through M, and mapping M into M'. Then f has a holomorphic extension across M. In this paper, we extend this classical theorem to higher complex dimensions for a class of hypersurfaces of infinite type.