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THE FORMULA FOR THE SINGULARITY OF SZEGO KERNEL : I

Kuranishi, Masatake   (Department of Mathematics Columbia UniversityUU0013721  );
  • 초록

    We develop a method of calculating explicitly the singularity of Szego and Bergman kernel by using the process developed by Boutet de Monvel and Sjostrand.


  • 주제어

    singularity .   Szego kernel.  

  • 참고문헌 (23)

    1. Parabolic invariant theory and geometry , T.N.Bailey , The Penrose Transform and Analytic Cohomology in Representation Theory, Contemp. Math. Amer. Math. Soc. / v.154,pp.169-180,
    2. Invariant theory of conformal and CR geometry , T.N.Bailey;M.G.Eastwood;C.R.Graham , Ann. of Math. / v.139,pp.491-552,
    3. Monge-Ampere equations, the Bergman Kerrnel, and geometry of pseudoconvex analysis , C.Fefferman , Ann. of Math. / v.103;104,pp.395-416;393-394,
    4. Invariant theory of parabolic geometries , C.R.Graham , Complex Geometry, Lecture Notes in Pure and Appl. Math. Dekker / v.143,pp.53-66,
    5. Fourier Integral Operators Ⅰ , Hormander , Acta. Math. / v.127,pp.79-183,
    6. Fourier integral operators with complex-valued phase functions , A.Melin;J.Sjostrand , Lecture Notes in Math. / v.459,pp.120-223,
    7. Singularity of the Bergman kernel , L.Boutet de Monvel , Complex Geometry, Lecture Note in Pure and Appl. Math. / v.143,pp.13-29,
    8. Microlocal Analysis for Differential Operators , A.Grigis;J.Sjostrand , London Math. Soc. Lecture Note Ser. / v.196,pp.,
    9. The Bergman kernel and biholomorphic mappings of pseudoconvex domains , C.Fefferman , Invent. Math. / v.26,pp.1-65,
    10. Construction of boundary invariants and the logarithmic singularity of the Bergman kernel , K.Hirachi , Ann. of Math. / v.151,pp.151-191,
    11. On the equivalence of symbols of non-degenerate CR structures , M.Kuranishi , Comm. Pure Appl. Math. / v.33,pp.1-21,
    12. Invariants of CR densities , M.G.Eastwood;C.R.Graham , Several complex variables and complex geometry, Part 2(Santa Cruz, CA, 1989), Proc. Sympos. Pure Math. / v.52,pp.117-133,
    13. Parabolic invariant theory in complex analysis , C.Fefferman , Adv. in Math. / v.31,pp.131-262,
    14. CR invariants of weight five in the Bergman kernel , K.Hirachi , Adv. in Math. / v.143,pp.185-250,
    15. Two methods of determining local invariants in Szego kernel , K.Hirachi;G.Komatsu;N.Nakazawa , Complex Geometry, Lecture Notes in Pure and Appl. Math. Dekker / v.143,pp.77-96,
    16. Analyse micro-local du noyau de Bergman , M.Kashiwara , Seminaire Goulaouic-Schwarz, Ecole Polytech. Expose n. Ⅷ / v.,pp.,
    17. Le noyeu de Bergman en dim. 2 , L.Boutet de Monvel , Seminaire EDP, Ecole Polytech, Expose n. XXII / v.,pp.,
    18. Sur la sigularite des noyaux de Bergman et de Szego , L.Boutet de Monvel;J.Sjostrand , Asterisques / v.34-35,pp.123-164,
    19. Invariant theory of the Bergman kernel, CR Geometry and Overdermined Systems , K.Hirachi;G.Komatsu , Adv. Stud. Pure Math. / v.25,pp.167-220,
    20. Scalar boundary invariants and the Bergman kernel , C.R.Graham , Complex Analysis Ⅱ, Lecture Notes in Math. / v.1276,pp.108-135,
    21. Aspects of parabolic invariants theory , R.Gover , The 18th Winter School Geometry and Physics(Srni. 1998) Rend. Circ. Mat. Palermo (2) Suppl. No. 59 / v.,pp.25-47,
    22. Complement sur le noyeu de Bergman , L.Boutet de Monvel , Seminaire EDP, Ecole Polytech, Expose n. XX / v.,pp.,
    23. Conformal invariants , C.Fefferman;C.R.Graham , Elie Cartan et les Mathematiques d'Aujpurd'hui., Asterisque, hors serie / v.,pp.95-116,

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