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Mathematische Annalen

, Volume 244, Issue 1, pp 69–74 | Cite as

Non-vanishing of the Bergman kernel function at boundary points of certain domains in ℂ n

  • Steven R. Bell
Article

Keywords

Kernel Function Boundary Point Bergman Kernel Bergman Kernel Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bergman, S.: The kernel function and conformal mapping. A.M.S. Survey V, 2. ed. Providence 1970Google Scholar
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    Diederich, K., Fornaess, J.: Pseudoconvex domains with realanalytic boundary. Ann. of Math.107, 371–384 (1978)Google Scholar
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    Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974)Google Scholar
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    Folland, G., Kohn, J.: The Neumann problem for the Cauchy-Riemann complex. Ann. of Math. Studies, No. 75. Princeton: University Press 1972Google Scholar
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    Hörmander, L.: The boundary behavior of the Bergman kernel. (unpublished manuscript)Google Scholar
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    Kerzman, N.: The Bergman kernel function. Differentiability at the boundary. Math. Ann.195, 149–158 (1972)Google Scholar
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    Kohn, J.: Sufficient conditions for subellipticity on weakly pseudoconvex domains. Proc. Nat. Acad. Sci. USA74, 2214–2216 (1977)Google Scholar
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    Webster, S.: Biholomorphic mappings and the Bergman kernel off the diagonal. PreprintGoogle Scholar
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    Ligocka, E.: Some remarks on extension of biholomorphic mappings. (to appear)Google Scholar
  10. 10.
    Ligocka, E.: How to prove Fefferman's theorem without use of differential geometry. Ann. Polish Math. (to appear)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Steven R. Bell
    • 1
  1. 1.Department of Mathematics 2-229Massachusetts Institute of TechnologyCambridgeUSA

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