Bibliography

(PDF/ TeX versions)
  1. Transformation law for the Szegö projectors on CR manifolds, Osaka J. Math. 27 (1990) 301--308

  2. Scalar pseudo-hermitian invariants and the Szegö kernel on three-dimensional CR manifolds, Complex Geometry, Lect. Notes in Pure and Appl. Math. 143, 67--76, Dekker, New York, 1993. [tex, pdf]

  3. with Gen Komatsu and Noriyuki Nakazawa: Two methods of determining local invariants in the Szegö kernel, Complex Geometry, Lect. Notes in Pure and Appl. Math. 143, 77--96, Dekker, New York, 1993. [tex, dvi, pdf]

  4. The second variation of the Bergman kernel of ellipsoids, Osaka J. Math. 30 (1993), 457--473 [pdf]

  5. Invariants of CR structures and the logarithmic singularity of the Bergman kernel, Geometric complex analysis (Hayama 1995), 239--247, World Sci. Publishing, River Edge, NJ, 1996.

  6. with Gen Komatsu: Invariant theory of the Bergman kernel, CR-Geometry and Overdetermined Systems, Advanced Studies in Pure Mathematics 25, 167--220, Math. Soc. Japan, Tokyo, 1997 [tex, dvi, pdf]

  7. with Gen Komatsu and Noriyuki Nakazawa: CR invariants of weight five in the Bergman kernel, Adv. Math. 143 (1999), 185--250 [dvi, pdf]

  8. with Gen Komatsu: Local sobolev Bergman kernel of strictly pseudoconvex domains, Analysis and Geometry in Several Complex Variables (Katata, 1997), Trends Math., 63--96, Birkhäuser Boston, Boston, MA, 1999 [dvi, pdf]

  9. Construction of boundary invariants and the logarithmic singularity of the Bergman kernel, Ann. of Math. 151 (2000), 151--190 [math.CV/0010014]

  10. CR invariants of weight 6. Several complex variables, J. Korean Math. Soc. 37 (2000), 177--191. [pdf]

  11. Invariant theory of the Bergman kernel of strictly pseudoconvex domains, Sugaku Expositions 17 (2004), no. 2, 151--169. [pdf] (translation of Sugaku 54 (2000), 360--375 [pdf])

  12. A link between the asymptotic expansions of the Bergman kernel and the Szegö kernel. Complex analysis in several variables---Memorial Conference of Kiyoshi Oka's Centennial Birthday, 115--121, Adv. Stud. Pure Math., 42, Math. Soc. Japan, Tokyo, 2004. [pdf]

  13. with Charles Fefferman: Ambient metric construction of Q-curvature in conformal and CR geometries, Math. Res. Lett. 10 (2003), 819--832 [math.DG/0303184] [pdf@MRL]

  14. with Rod Gover: Conformally invariant powers of the Laplacian -- A complete non-existence theorem, Jour. Amer. Math. Soc. 17 (2004), 389--405 [math.DG/0304082] [pdf@AMS]

  15. Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains, Ann. of Math. 163 (2006), 499--515 [math.CV/0309176] [pdf@annals]

  16. with C. Robin Graham: The ambient obstruction tensor and Q-curvature. AdS/CFT correspondence: Einstein metrics and their conformal boundaries, 59--71, IRMA Lect. Math. Theor. Phys., 8, Eur. Math. Soc., Zürich, 2005. [math.DG/0405068]

  17. with C. Robin Graham: Inhomogeneous Ambient Metrics, The IMA volumes in mathematics and its applications 144, 403--420, Springer 2007 [math.DG/0611931]

  18. Ambient metric construction of CR invariant differential operators, Symmetries and Overdetermined Systems of Partial Differential Equations, The IMA volumes in mathematics and its applications 144, 61--76, Springer 2007 [math/0701804]


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