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Article Dans Une Revue Mathematische Zeitschrift Année : 2002

Wedge extendability of CR-meromorphic functions: the minimal case

Egmont Porten
  • Fonction : Auteur

Résumé

In this article, we consider metrically thin singularities E of the solutions of the tangential Cauchy-Riemann operators on a C^{2,a}-smooth embedded Cauchy-Riemann generic manifold M (CR functions on M - E) and more generally, we consider holomorphic functions defined in wedgelike domains attached to M - E. Our main result establishes the wedge- and the L^1-removability of E under the hypothesis that the (\dim M-2)-dimensional Hausdorff volume of E is zero and that M and M \backslash E are globally minimal. As an application, we deduce that there exists a wedgelike domain attached to an everywhere locally minimal M to which every CR-meromorphic function on M extends meromorphically.
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Dates et versions

hal-00003401 , version 1 (29-11-2004)

Identifiants

  • HAL Id : hal-00003401 , version 1

Citer

Joel Merker, Egmont Porten. Wedge extendability of CR-meromorphic functions: the minimal case. Mathematische Zeitschrift, 2002, 241, pp.485-512. ⟨hal-00003401⟩
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