Complément sur le noyau de Bergman

L. Boutet de Monvel

Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986)

  • page 1-13

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Boutet de Monvel, L.. "Complément sur le noyau de Bergman." Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986): 1-13. <http://eudml.org/doc/111896>.

@article{BoutetdeMonvel1985-1986,
author = {Boutet de Monvel, L.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {singularity of the Bergman kernel; strictly pseudoconvex domain; Fourier integral operator},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Complément sur le noyau de Bergman},
url = {http://eudml.org/doc/111896},
year = {1985-1986},
}

TY - JOUR
AU - Boutet de Monvel, L.
TI - Complément sur le noyau de Bergman
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1985-1986
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
KW - singularity of the Bergman kernel; strictly pseudoconvex domain; Fourier integral operator
UR - http://eudml.org/doc/111896
ER -

References

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  1. [1] L. Boutet de Monvel, J.Sjöstrand: Sur la singularité des noyaux de Bergman et de Szegö, Astérisque34-35 (1976), 123-164. Zbl0344.32010MR590106
  2. [2] L. Boutet de Monvel, P.Krée: Pseudo-differential operators and Gevrey classes, Ann. Inst. Fourier XVII, 1 (1967), 295-323. Zbl0195.14403MR226170
  3. [3] S.S. Chern, J. Moser: Real hypersurfaces in complex manifoldsActa Math.133 (1974), 219-271. Zbl0302.32015MR425155
  4. [4] C. Fefferman: The Bergman kernel and biholomorphic equivalence of pseudoconvex domains - Inventiones Math.26 (1974), 1-65. Zbl0289.32012MR350069
  5. [5] C. Fefferman: Monge-Ampère equations, the Bergman kernel and geometry of pseudo-convex domains. Ann. Math.103 (1976), 395-416. Zbl0322.32012MR407320
  6. [6] C. Fefferman: Parabolic invariant theory in complex analysisAdvances in Math.31 (1979), 131-262. Zbl0444.32013MR526424
  7. [7] L. Hörmander: The analysis of linear partial differential operators, Grundlehren der Math. W., Springer Verlag. Zbl1062.35004
  8. [8] M. Kashiwara, T. Kawai, M. Sato: Microfunctions and pseudo-differential equations, Lect. Notes287 (1973), Springer-Verlag. Zbl0277.46039MR420735
  9. [9] M. Kashiwara: Analyse microlocale du noyau de Bergman, Séminaire Goulaouic-Schwartz 1976-77, exposé n°8, Ecole Polytechnique. Zbl0445.32020
  10. [10] D. Boichu, G. Coeuré: Sur le noyau de Bergman des domaines de Reinhardt, Inventiones Math.72 (1983), 131-152. Zbl0489.32017MR696692
  11. [11] J. Lee, R. Melrose: Boundary behaviour of the complex Monge-Ampère equation, Acta Math.148 (1982), 159-192. Zbl0496.35042MR666109

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