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Real Analogue of the Bergman Kernel

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Partial Differential Operators and Mathematical Physics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 78))

Abstract

In this short report I wish to recall some of my work on the singularity of the Bergman kernel, and some recent developments by my thesis student A. Attioui concerning a real analogue.

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References

  1. A. Attioui, Version réelle de la conjecture de Ramadanoff et équation de Monge-Ampère, C. R. Acad. Sci. Paris 317, série I, 1983, 283–287, et these Paris 6, 1994.

    MathSciNet  Google Scholar 

  2. D. Boichu, G. Coeuré, Sur le noyau de Bergman des domaines de Reinhardt, Invent. Math. 72(1983), 131–152

    Article  MathSciNet  Google Scholar 

  3. L. Boutet de Monvel, Complément sur le noyau de Bergman, Séminaire E.D.P. Ecole Polytechnique, 1985–86, exposé no 20.

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  4. L. Boutet de Monvel, Le noyau de Bergman en dimension 2 (suite), Séminaire E.D.P. Ecole Polytechnique, 1987–88, exposé no 22.

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  5. L. Boutet de Monvel, The Bergman kernel: computation and invariants, Osaka, decembre 1990, Lecture Notes in Pure and Appl. Math. 143, Marcel Dekker, 1992, 13–29.

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  6. L. Boutet de Monvel, J. Sjöstrand, Sur la singularité des noyaux de Bergman et de Szegö, Astérisque 34–35(1976), 123–164.

    Google Scholar 

  7. E. Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de deux variables complexes I, Ann. Math. Pures Appl. (4), 11(1932), 17–90, et II, Ann. Sc. Norm. Sup. Pisa 2, 1, (1932), 333–354.

    MATH  Google Scholar 

  8. S.S. Chern, J. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133(1974), 219–271.

    Article  MathSciNet  Google Scholar 

  9. M. Kashiwara, Analyse microlocale du noyau de Bergman, Séminaire Goulaouic-Schwartz 1976–77, exposé no 8, Ecole Polytechnique.

    Google Scholar 

  10. M. Kuranishi, Cartan connections and CR structures with non-degenerate Levi-form, Astérisque, hors série, 1985 (Elie Cartan et et les Mathématiques d’aujourd’hui), 273–288.

    Google Scholar 

  11. Ramadanoff, A characterization of the balls in ℂn by means of the Bergman kernel, C. R. Acad. Bulgare des Sciences 34, no 7 (1981).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut de Mathématiques (UMR 9994 du CNRS), Université de Paris 6, Tour 46–0, 5-iéme étage, boiîte 172, 4 place Jussieu, F-75252, Paris Cedex 05, France

    Louis Boutet de Monvel

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  1. Louis Boutet de Monvel
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Clausthal, Erzstrasse 1, 38678, Clausthal-Zellerfeld, Germany

    Michael Demuth

  2. Institut für Mathematik, Max Planck-Arbeitsgruppe “Partielle Differentialgleichungen and Komplexe Analysis” Universität Potsdam, Postfach 60 15 53, 14415, Potsdam, Germany

    Bert-Wolfgang Schulze

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© 1995 Birkhäuser Verlag Basel/Switzerland

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Boutet de Monvel, L. (1995). Real Analogue of the Bergman Kernel. In: Demuth, M., Schulze, BW. (eds) Partial Differential Operators and Mathematical Physics. Operator Theory Advances and Applications, vol 78. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9092-2_5

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  • DOI: https://doi.org/10.1007/978-3-0348-9092-2_5

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9903-1

  • Online ISBN: 978-3-0348-9092-2

  • eBook Packages: Springer Book Archive

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