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Regularnost Cauchy-Riemanovih homeomorfizmov. Del 2
出版Inštitut za matematiko, fiziko in mehaniko, 1990
URLhttp://books.google.com.hk/books?id=bPoutwAACAAJ&hl=&source=gbs_api
註釋This work deals with the question of regularity of Cauchy-Riemann homeomorphisms between smooth strongly pseudoconvex Cauchy-Riemann (CR) manifolds in the complex Euclideasn space $\Cc^{n}$. The method that was used involves the generalized reflection principle and the estimates for the derivatives of a holomorphic mapping. This method was previously used in the proof of Fefferman's theorem. The main result is that under an additional geometric assumption on both CR manifolds every CR homeomorphism is a smooth diffeomorphism. In the real-analytic case it extends to a locally biholomorphic mapping near the given point.