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Phénomène de Hartogs-Bochner relatif dans une hypersurface réelle 2-concave d'une variété analytique complexe

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Références

  1. Andreotti, A., Hill, C.D.: E.E. Levi convexity and the Hans Lewy problem I. Ann. Sc. Norm. Super. Pisa26, 325–363 (1972)

    MATH  MathSciNet  Google Scholar 

  2. Andreotti, A., Hill, C.D.: E.E. Levi convexity and the Hans Lewy problem II. Ann. Sc. Norm. Super. Pisa26, 747–806 (1972)

    MATH  MathSciNet  Google Scholar 

  3. Airapetian, R.A., Henkin, G.M.: Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR functions. Russ. Math. Surv.39, 41–118 (1984)

    Article  Google Scholar 

  4. Airapetian, R.A., Henkin, G.M.: Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR functions II. Math. USSR, Sb.55, 91–111 (1985)

    Article  Google Scholar 

  5. Henkin, G.M.: The Hartog-Bochner effect on CR manifolds. Sov. Math., Dokl.29, 78–82 (1984)

    Google Scholar 

  6. Henkin, G.M.: The tangential Cauchy Riemannian equations and the Dirac Higgs and Yang-Mills fields. Dans: Ciesielski, Z., Olech, C. (eds.). Proc. Int. Cong. Math. Warszaw 1983, pp. 809–827. Warsaw, PSP 1984

    Google Scholar 

  7. Henkin, G.M., Leiterer, J.: Andreotti-Grauert theory by integral formulas. Boston Basel Stuttgart Birkhäuser 1988

    MATH  Google Scholar 

  8. Laurent-Thiébaut, C.: Résolution du\(\bar \partial _b \) à support compact et phénomène de Hartogs-Bochner dans les variétés CR. Dans: Proceedings of Symposion in Pure Math.52, part 3, 239–249 (1991)

    Google Scholar 

  9. Laurent-Thiébaut, C.: Sur l'extension des fonctions CR dans une variété de Stein. Ann. Math. Pura Appl.150, 141–152 (1988)

    Article  MATH  Google Scholar 

  10. Laurent-Thiébaut, C.: Extension de formes différentielles CR dans une hypersurface réelle d'une variété analytique complexe. C.R. Acad. Sci., Sér. I Math.312, 369–372 (1991)

    MATH  Google Scholar 

  11. Laurent-Thiébaut, C., Leiterer, J.: On the Hartogs-Bochner extension phenomenon for differential forms. Math. Ann.284, 103–119 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  12. Laurent-Thiébaut, C., Leiterer, J.: The Andreotti-Vesentini separation theorem withC k estimates and extension of CR forms. Dans: Proceedings of the year devoted to several complex variables at Mittag-Lefflet Institute (à paraître)

  13. Lupacciolu, G.: Some global results on extension of CR objects in complex manifolds. Trans. Am. Math. Soc.321, 761–774 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  14. Lupacciolu, G., Tomassini, G.: Un teorema di estensione per le CR-funzioni. Ann. Mat. Pura Appl.137, 257–263 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  15. Nacinovich, M.: On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundary. Math. Ann.281, 459–482 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  16. Naruki, I.: Localization principle for differential complexes and its applications. Publ. Res. Inst. Math. Sci. Kyoto Univ.8, 43–110 (1972)

    MathSciNet  Google Scholar 

  17. Stout, E.L.: Removable singularities for the boundary values of holomorphic functions. Dans: Proceedings of the year devoted to several complex variables at Mittag-Leffler Institute (à paraître)

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  1. Institut Fourier, B.P. 74, F-38402, St. Martin d'Hères Cedex, France

    Christine Laurent-Thiébaut

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  1. Christine Laurent-Thiébaut
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Laurent-Thiébaut, C. Phénomène de Hartogs-Bochner relatif dans une hypersurface réelle 2-concave d'une variété analytique complexe. Math Z 212, 511–525 (1993). https://doi.org/10.1007/BF02571671

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